4MA0 Higher January 2016 Paper 4 Q16
16 The curve C has equation \(y = 3x^2 - 12x + 8\)
(a) Find \(\dfrac{\mathrm{d}y}{\mathrm{d}x}\) (2)
(b) Find the coordinates of the point on C where the gradient of the curve is 18 (3)
| Scheme | Marks |
|---|---|
| M1 | |
| \(6x - 12\) | A1 |
| (2) |
Notes
M1: for \(6x\) or \(-12\) (allow \(2 \times 3x\) for \(6x\))
A1: fully correct
| Scheme | Marks |
|---|---|
| ‘\(6x - 12\)’ = 18 oe | M1ft |
| M1 | |
| (5, 23) | A1 |
| (3) |
Notes
M1ft: ft equation in form \(ax + b\) (\(a \neq 0\), \(b \neq 0\))
M1: Full method to solve their equation
A1: (5, 23)