Differentiation

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AS Maths – Pure – Gradients of Curves (Intro to Differentiation)

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12B Slides (Courtesy of Owen134866)

Dr Frost Video

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Bicen Maths Live Lesson

Differentiation 1 • Intro to Finding the Gradient Function • P1 Ex12A • 🤖

Differentiation 2 • Differentiation by First Principles • P1 Ex12B • 🤖

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

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Dr Frost Slides 1-10✦

Extra Resources

• Just for your Interest: Why can’t we immediately make h zero in differentiation by first principles?

Exam Practice

• Exam Practice

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 511a: Estimate the gradient of a tangent to a curve (secant line) at a point by forming a chord from the point to another on the curve. (not yet active)
• 511b: Estimate the gradient of a tangent to a curve (secant line) at a point by forming a chord between points ether side of the on the curve. (not yet active)
• 511c: Use a secant line to obtain an initial expression for a limiting gradient for a function (xⁿ terms only).
• 511d: Differentiate from first principles and simplify to obtain an expression for the gradient of a secant line as an approximation to the gradient of a tangent line (xⁿ terms only).
• 511: Exam Practice: Differentiating from first principles for small positive powers of x

Further Practice

• Practise Questions

Other Videos

Differentiation from First Principles

Courtesy of Maths Genie

Newton, Leibniz, and Usain Bolt | Derivatives introduction | AP Calculus AB | Khan Academy

Khan Academy introducing Differentiation

Enrichment Video

The paradox of the derivative | Chapter 2, Essence of calculus

3Blue1Brown: The paradox of the derivative

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• WW First Principles Scaffolding Word Doc & PDF
• MEI Geogebra Resource Introducing Concept Through Secants
• The Chalkface
  • Introduction to Calculus: Interactive page
• Ben Sparks (GeoGebra)
  • Differentiation from First Principles: GeoGebra
• thewessens.net Classroom Apps
  • Introducing the Derivative (the gradient of a chord tending to the tangent)
• BossMaths
  • Differentiation from First Principles (Interactive)
• SRWhitehouse
  • Differentiation from first principles✦
• Underground Mathematics
  • To the limit✦
  • Zooming in✦
• phildb
  • Differentiation Introduction✦

Worksheets

• Jethwa Maths Worksheet (p1-2)
• Mathsaurus Mixed Exam Board Questions (no solutions)
• RIMT Worked Examples and Questions✦
• Maths Genie
  • Differentiation from first principles: Questions · Solutions · Lesson · Topic page
• Naiker Maths
  • Differentiation from First Principles: Exam Qs 2005–11
• Physics & Maths Tutor
  • Differentiation from First Principles: Questions 2021–24 · Mark scheme · Model answers · Questions 2018–21 (with MS) · Model answers
• MadAsMaths (T. Madas)
  • Differentiation from First Principles Q1–7, 11–19, 21, 24–26, 28, 29 (difficulty 2–5 of 5)

AS Maths – Pure – Differentiating x^n

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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12C Slides (Courtesy of Owen134866)

Dr Frost Video

• Topic Video (Some elements of 12D too)

Bicen Maths Live Lesson

Differentiation 3 • Differentiating x^n (simple) • P1 Ex12C • 🤖

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

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• Dr Frost Slides 1-13✦

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 512a: Differentiate a single term given in the form ax^b
• 512f: Differentiate xⁿ to find the gradient of a tangent to a curve (i.e. the instantaneous rate of change) at a given point.
• 512g: Determine the value of x which gives rise to a given gradient of the tangent to a curve.
• 512h: Determine the value of a constant given the gradient of the tangent to a curve at a point.
• 512: Exam Practice: Differentiating xⁿ for rational values of n

Other Videos

An Introduction to Differentiation

Courtesy of Maths Genie (Up to 3:00)

Enrichment Video

Derivative formulas through geometry | Chapter 3, Essence of calculus

3Blue1Brown: Derivative formulas through geometry

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Note: a lot of activities for this section can be taken from the start of worksheets/ activities from the next section: 12D Multiple terms

AS Maths – Pure – Differentiating Polynomials

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept. (Up to 4:14)

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12D Slides (Courtesy of Owen134866)

Dr Frost Video

• Topic Video

Bicen Maths Live Lesson

Differentiation 4 • Multiple Terms and Problem Solving • P1 Ex12D • 🤖

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

Download Blank Notes

(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 14-18✦

Exam Practice

• Exam Practice

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 512b: Differentiate a collection of terms with integer exponents.
• 512c: Differentiate a collection of terms given in the form ax^b
• 512d: Differentiate a collection of terms given in the form ax^b involving an algebraic coefficient.
• 512i: Differentiate a polynomial expression requiring bracket expansion.
• 512: Exam Practice: Differentiating xⁿ for rational values of n

Further Practice

• Practise Questions

Other Videos

An Introduction to Differentiation

Courtesy of Maths Genie (From 3:00)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Lesson (Extends Into Tangents)

Activities

• Standards Unit Matching Functions and Derivatives✦ (Finding Gradients at Certain Points)
• Interactive Maths
  • Differentiating Polynomials: QQI | 10QQI | Count Down | Relay | Bingo
• Goal Free Problems
  • A-Level Basic Calculus set Q6, Q8

Worksheets

• Dr Austin Maths
  • Rule Practice Strips (Word | PDF | Answers)
• Jethwa Maths Starter Activities (p1-6 & 17-18) some of 12E included
• kutasoftware Power, Constant, and Sum Rules 1
• MadAsMaths (T. Madas)
  • Calculus Introduction Exam Questions Q5, 8, 52, 152, 164 (difficulty 2–3 of 5)
  • Differentiation Practice I The Operation of Differentiation Q1–3, 5–8; Practice in Context Q1–5, 13

AS Maths – Pure – Differentiating Polynomials

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept. (From 4:14)

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12E Slides (Courtesy of Owen134866)

Dr Frost Video

• Topic Video (from 8:35)

Bicen Maths Live Lesson

Differentiation 1 • Harder Expressions • P1 Ex12E • 🤖

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 19-21✦

Exam Practice

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 394q: Write a collection of terms in the form ax^b
• 394s: Write a fraction as a collection of terms by splitting the fraction.
• 298e: Write a fraction with an algebraic term on the denominator as a power of x
• 512e: Differentiate a collection of terms that require rewriting in the form ax^b
• 512j: Differentiate a polynomial expression written as a fraction with a single term on the denominator.
• 512k: Differentiate an expression written as a fraction with a single term on the denominator and that contains a root.
• 394: Exam Practice: Fractional indices
• 298: Exam Practice: Negative indices
• 512: Exam Practice: Differentiating xⁿ for rational values of n

Further Practice

• Practise Questions

Other Videos

An Introduction to Differentiation

Courtesy of Maths Genie (From 5:27)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• Matching Cards✦ MEI
• Rewriting to Differentiate and Integrate✦ Standard Units
• Goal Free Problems
  • A-Level Algebra & Coordinate Geometry set Q15 | A-Level Basic Calculus set Q3

Worksheets

• Dr Austin Maths
  • Harder by Rule Practice Strips (Word | PDF | Answers)
  • Harder Match-Up (Word | PDF | Answers)
• Maths4Everyone Differentiation of Polynomials✦ (TES Account Required)
• martahidegkuti.com Differentiation Practice
• WW Rewriting Word Doc, PDF & Answers
• karel Writing Exponential Equations in the Form ax^n (TES Account Required)
• kutasoftware Power, Constant and Sum Rules 2
• PMT PPQs
  • Edexcel C1
  • Edexcel C2
  • OCR MEI C2 and Answers (1)
  • OCR MEI C2 and Answers (2)
  • OCR MEI C2 and Answers (3)
• Mathshelper (Jon Stone)
  • Differentiation-Indices Further Practice 1 · 2
• MadAsMaths (T. Madas)
  • Indices Practice Algebraic Indices Q8–13 · questions only
  • Calculus Introduction Exam Questions Q1, 19, 57, 63, 81, 101, 123, 129, 140, 149, 184–185, 223, 234 (difficulty 2–4 of 5)
  • Differentiation Practice I The Operation of Differentiation Q4; Differentiating Indices Q1–8
• Starting Points Maths
  • Preparing for Calculus: Quotients · PDF

AS Maths – Pure – Tangents and Normals

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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12F Slides (Courtesy of Owen134866)

Dr Frost Video

• Topic Video

Bicen Maths Live Lesson

Differentiation 6 • Tangents & Normals • P1 Ex12F • 🤖

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

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(Courtesy of King’s Chester Maths Department)

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Dr Frost Slides 22-26✦

Exam Practice

• Exam Practice

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 520a: Determine the equation of a tangent or normal to a curve at a turning point.
• 520b: Determine the equation of the tangent or normal to a curve at a given point, where the gradient function is given.
• 520c: Find an equation of a tangent to a polynomial curve.
• 520d: Find an equation of a normal to a polynomial curve.
• 520e: Determine the coordinate of a point on a curve given the function and the gradient of the tangent or normal.
• 520f: Determine the coordinate of a point on a curve given the equation of a line parallel to the tangent or normal.
• 520g: Determine the equation of a tangent or normal to a curve where the function involves fractional or negative powers.
• 520h: Determine the equation of the tangent or normal of a curve at an intercept with the axes.
• 520i: Determine the coordinates of the point where a tangent or normal to a curve at one point intercepts with the coordinate axes.
• 520j: Determine the equation of the tangent or normal of a curve in the form ax + by + c = 0
• 520k: Determine a triangular area formed by a tangent or normal to a curve. (not yet active)
• 520l: Determine the coordinates of the point where a tangent or normal to a curve at one point intercepts with the curve again. (not yet active)
• 520m: Determine an unknown coefficient in a function given the gradient of the tangent/normal. (not yet active)
• 520n: Determine an unknown coefficient in a function given the tangent/normal to the curve is parallel to another line. (not yet active)
• 520o: Determine an unknown coefficient or constant in the equation of a tangent or normal. (not yet active)
• 520: Exam Practice: Equations of tangents and normals (powers of x only)

Further Practice

• Practise Questions

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• Desmos Tangents and Normals Lesson by Jo Hill
• Andy Lutwyche
  • (Equations of Normals) Codebreaker
  • Differentiating Explosions
• Goal Free Problems
  • A-Level Algebra & Coordinate Geometry set Q21, Q23 | A-Level Basic Calculus set Q4, Q7, Q13, Q15, Q16, Q19

Worksheets

• Jethwa Maths Starter Activities (p7-10)
• naikermaths PPQ Booklet & Solutions
• PMT PPQs
  • Edexcel C1✦
  • Edexcel C2
  • OCR MEI C2 and Answers (1)
  • OCR MEI C2 and Answers (2)
  • OCR MEI C2 and Answers (3)
  • OCR MEI C2 and Answers (4)
• Mathshelper (Jon Stone)
  • Hard Tangents & Normals
• Physics & Maths Tutor
  • Tangents and Normals: Questions 2021–24 · Mark scheme · Model answers · Questions 2018–21 (with MS) · Model answers
• SRWhitehouse
  • Tangents and normals worksheets✦
• MadAsMaths (T. Madas)
  • Calculus Introduction Exam Questions Q11, 15, 20, 32, 35, 42, 45, 48, 62, 67, 73, 87, 89, 95, 104, 106, 110, 112–113, 116, 124, 128, 130, 133, 136, 141, 145, 150–151, 153–154, 156, 158, 162–163, 165–166, 170, 172, 175, 181, 190, 194, 198, 202–203, 206, 208–209, 211, 214, 236, 246, 254, 267, 270–271, 273–274, 293, 296, 303 (difficulty 2–5 of 5)
  • Differentiation Practice I Tangents & Normals Q1–6; Practice in Context Q6–12, 14–21, 25–32, 34

AS Maths – Pure – Increasing and Decreasing Functions

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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12G Slides (Courtesy of Owen134866)

Dr Frost Video

• Topic Video

Bicen Maths Live Lesson

Differentiation 7 • Increasing and Decreasing Functions • P1 Ex12G • 🤖

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 27-30✦

Exam Practice

• Exam Practice

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 516a: Understand the terms increasing and decreasing and apply to a drawn graph.
• 516b: Determine the interval for which a quadratic function is increasing or decreasing.
• 516c: Determine whether a function is increasing or decreasing at a specific point on the curve.
• 516d: Determine the interval for which a cubic function is increasing or decreasing.
• 516e: Prove that a function is increasing or decreasing.
• 516f: Determine the range of values for which a function is increasing/decreasing involving a reciprocal term.
• 516: Exam Practice: Increasing and decreasing polynomial functions (involving powers of x only)

Further Practice

• Practise Questions

Other Videos

Differentiation Finding where a function is Increasing, Decreasing or Stationary

Courtesy of Maths Genie

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• undergroundmathematics.org Increasing and Decreasing Functions Activity✦
• Andy Lutwyche
  • Codebreaker
• Math = Love (Sarah Carter)
  • Increasing & Decreasing Intervals
• SRWhitehouse
  • Increasing and decreasing functions✦

Worksheets

• Jethwa Maths Starter Activities (p11-12)
• Mathshelper (Jon Stone)
  • Increasing Decreasing Worksheet
• MadAsMaths (T. Madas)
  • Calculus Introduction Exam Questions Q6, 22, 30, 105, 173, 180, 226 (difficulty 2–4 of 5)
  • Differentiation Practice I Increasing & Decreasing Functions Q1–2

Extension/ Further Interest

• kutasoftware Intervals of Increase and Decrease (Ignore Q4 and 7)

AS Maths – Pure – Second Order Derivatives

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

Download Blank Notes

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12H Slides (Courtesy of Owen134866)

Dr Frost Video

• Topic Video (up to 3:43)

Bicen Maths Live Lesson

Differentiation 8 • Second Derivatives • P1 Ex12H • 🤖

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

Download Blank Notes

(Courtesy of King’s Chester Maths Department)

Download Slides

• Dr Frost Slides 31-34✦

Extra Resources

• Just for your Interest: Why do we put the squareds where they are in the second derivative, d²y/dx²?

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 515a: Determine the second derivative of a function.
• 515b: Evaluate the second derivative of a function at a specific point.
• 515c: Determine the point on a curve which has a given second derivative.
• 515: Exam Practice: Second derivative of a polynomial function (involving powers of x only)

Enrichment Video

Higher order derivatives | Chapter 10, Essence of calculus

3Blue1Brown: Higher order derivatives

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Worksheets

• kutasoftware Higher Order Derivatives
• Mathshelper (Jon Stone)
  • Differentiation And The Second Derivative
• MadAsMaths (T. Madas)
  • Calculus Introduction Exam Questions Q23, 27, 31, 75, 93, 148, 205, 210, 218, 225, 265 (difficulty 2–4 of 5)
  • Differentiation Practice I Practice in Context Q35
• Pret Homework (@AdamGoodridge18)
  • Second Derivative (@AdamGoodridge18, pptx)

AS Maths – Pure – Stationary Points

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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12I Slides (Courtesy of Owen134866)

Dr Frost Video

KS5 – The Second Derivative & The Nature of Turning Points

Whole Topic Video (from 3:43) Second Derivatives

KS5 – Stationary & Turning Points

Whole Topic Video (up to 7:48) Maxima & Minima

Bicen Maths Live Lesson

Differentiation 9 • Maxima and Minima • P1 Ex12I • 🤖

Differentiation 10 • Points of Inflection • P1 Ex12I • 🤖

Differentiation 11 • What type of stationary point is it? • P1 Ex12I • 🤖

Differentiation 12 • Sketching Harder Graphs • P1 Ex12I • 🤖

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

Download Blank Notes

(Courtesy of King’s Chester Maths Department)

Download Slides

• Dr Frost Slides 35-47✦

Exam Practice

• Exam Practice: Understand and use the second derivative of a function. · Maxima and minima and stationary points.

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 517a: Determine the stationary point of a quadratic function using differentiation.
• 517b: Determine the stationary points of a cubic function.
• 517c: Determine the stationary points of a quartic function or higher power.
• 517d: Determine whether a stationary point is a maximum or minimum by using the second derivative.
• 517e: Determine whether a stationary point is a maximum, minimum or point of inflection by using the gradients either side of the point.
• 517f: Determine the stationary points of a curve involving negative powers of x
• 517g: Determine the stationary points of a curve involving roots and fractional powers of x
• 517h: Determine the maximum or minimum value of a function within a closed interval.
• 517i: Draw a cubic graph by using its stationary points.
• 517j: Determine coefficients of an equation given a turning point.
• 517k: Determine the turning point of a sketched cubic graph, where one turning point touches the x-axis.
• 517l: Use the discriminant to determine the number of stationary points of a cubic function.
• 517m: Determine the number of roots of cubic, quartic and quintic equations by considering turning points.
• 517: Exam Practice: Maxima and minima and stationary points for powers of x

Further Practice

• Practise Questions: Understand and use the second derivative of a function. · Maxima and minima and stationary points.

Other Videos

Determining whether a stationary point is a maximum or a minimum

Courtesy of Maths Genie

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• Underground Maths: Floppy Hair✦
• Andy Lutwyche
  • Codebreaker
  • Second Derivatives Codebreaker
• Interactive Maths
  • Finding Turning Points of Curves: QQI | 10QQI
• Goal Free Problems
  • A-Level Basic Calculus set Q2
• Desmos
  • Stationary Points (by Jo Hill)

Worksheets

• Dr Austin Maths
  • Practice Strips (Word | PDF | Answers)
  • Fill In The Blanks (Word | PDF | Answers)
• Jethwa Maths Starter Activities (p15-16 & 19-20)
• PMT PPQs
  • Edexcel C1
  • Edexcel C2
  • OCR MEI C2 and Answers (1)
  • OCR MEI C2 and Answers (2)
  • OCR MEI C2 and Answers (3)
• Mathshelper (Jon Stone)
  • Stationary Points
• Physics & Maths Tutor
  • Stationary Points: Questions 2021–24 · Mark scheme · Model answers · Questions 2018–21 (with MS) · Model answers
• SRWhitehouse
  • Turning Points Worksheets✦
• MadAsMaths (T. Madas)
  • Cubics Exam Questions✦ Q23 (difficulty 4 of 5)
  • Discriminant Exam Questions Standard Q22 (difficulty 4 of 5)
  • Calculus Introduction Exam Questions Q13, 33, 40, 43, 64, 79, 119, 121, 127, 142, 186, 196–197, 215, 222, 228, 230, 238–239, 241, 256, 260, 266, 268, 275, 292 (difficulty 2–5 of 5)
  • Differentiation Practice I Stationary Points Q1–5; Practice in Context Q22–24
  • Differentiation II Exam Questions Q236, 243, 254 (difficulty 5 of 5)
  • Curve Sketching Q47, 58 (difficulty 4 of 5)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• thechalkface Baked Beans Optimisation ppt and Worksheet for Tins in General✦, Oil Drum
• Andy Lutwyche
  • Scooby Doo
  • Ironman's Calculus
  • Ant-Man’s Rates of Change
• The Chalkface
  • Baked Beans Optimisation: PowerPoint · PDF
  • Oil Drum Optimisation: PDF
• Goal Free Problems
  • A-Level Basic Calculus set Q1, Q5, Q9, Q10, Q18 | A-Level Trigonometry set Q9
• Nuffield Foundation
  • Maxima and minima problems✦ (notes✦, slides✦)

Worksheets

• Dr Austin Maths
  • Applied Calculus Problems Practice Strips (Word | PDF | Answers)
• Jethwa Maths Starter Activities (p13-14)
• naikermaths PPQ Booklet✦ and Solutions✦
• Mathsaurus Mixed Exam Board Questions (No Solutions)
• SRWhitehouse
  • Optimisation examples✦
  • Optimisation worksheet✦
• MadAsMaths (T. Madas)
  • Calculus Introduction Exam Questions Q41, 47, 54, 58, 61, 69, 77, 83–84, 88, 94, 100, 111, 114–115, 117, 131, 134, 137, 146, 157, 169, 177, 183, 188, 193, 195, 199, 204, 207, 212, 221, 229, 240, 243, 247, 250, 252, 255, 258, 263, 272, 276, 278, 280, 283, 285, 288–291, 302, 304 (difficulty 3–5 of 5)
  • Differentiation Optimisation Problems Q1–44 (difficulty 3–5 of 5)
  • Differentiation Practice I The Operation of Differentiation Q9; Practice in Context Q33
  • Differentiation II Exam Questions Q238, 248, 252 (difficulty 5 of 5)
• Starting Points Maths
  • Optimisation (scaffolded) (by Bruce Gray) · PDF

Whole Topic Videos

Differentiation 17 • Exam Questions pt. 1 • P1 Ex12 ExamQs • 🤖

Differentiation 18 • Exam Questions pt. 2 • P1 Ex12 ExamQs • 🤖

Bicen Maths Exam Questions

External Whole Topic Past Paper Style Questions

• Jethwa Maths Worksheet & Topic Test
• Dr Frost Topic Test✦ (Teacher Login Required)
• Dr Frost Full coverage (Year 1)
• Mathsaurus Mixed Exam Board Questions (No Solutions), Covers All Except Modelling and First Principles
• PMT C1 PPQ by Topic
  • AQA
  • Edexcel (Set 2)
  • OCR (Set 1) and Solutions
  • OCR (Set 2)
• PMT C2 PPQ by Topic
  • AQA
  • Edexcel (Set 2)
  • Cheat Sheet
• Transum
  • Exam-style questions: Differentiation
• Pret Homework (@DrBennison)
  • Differentiation (@DrBennison, docx)
• Pret Homework (@Flipmath)
  • Differentiation (@Flipmath, pdf)

Activities

• Math = Love (Sarah Carter)
  • Derivatives activities collection
• NRICH (student problems)
  • Differentiation & Integration
• MEI
  • MEI teaching notes, misconceptions & prompts: Differentiation✦
• Andy Lutwyche
  • Calculus Spiders
  • Codebreakers
  • Erica's Errors On Differentiation 2, 3
  • Erica’s Errors
  • NCIS: National Calculus Investigative Service

Worksheets

• Mathshelper (Jon Stone)
  • Differentiation FFP
  • Differentiation Test I
  • Differentiation Test II
  • Differentiation Worksheet 1
  • Differentiation FFP
• MathedUp
  • Differentiation: Questions · Challenge · Answers
  • Calculus: Questions · Challenge · Answers
• Maths Genie
  • Differentiation: Questions · Solutions · Lesson · Topic page
• Jethwa Maths
  • Year 1 Differentiation: Worksheets · Unit Test
• MME
  • C1 Differentiation: Questions | Answers
• SRWhitehouse
  • Differentiation Worksheets✦
  • Mixed Differentiation Questions✦
• StudyWell
  • Differentiation exam questions and solutions✦
• Dr Oliver Mathematics
  • Exam questions part 1✦ (solutions✦)
  • Exam questions part 2✦ (solutions✦)
• Dr Austin Maths
  • Revision Practice Grid (Word | PDF | Answers)
  • Using the Gradient Function (Word | PDF | Answers)
  • Second Derivatives Practice Strips (Word | PDF | Answers)
  • Equations of Tangents and Normals Practice Strips (Word | PDF | Answers)