Higher January 2022 Paper 2R Q17
17 Part of the curve with equation \(y = \mathrm{f}(x)\) is shown on the grid.
Find an estimate for the gradient of the curve at the point where \(x = 2\)
Show your working clearly.
(3)
| Scheme | Marks |
|---|---|
| Line drawn at \((2, 1)\) with a positive gradient that does not intersect the curve at any other point. | M1 |
| M1 | |
| Working required Answer: 1.5 to 3 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for a tangent drawn at \(x = 2\)
M1: (dep M1) for a correct method to work out the gradient of the tangent.
A1: for 1.5 to 3
accept answers in the range 1.5 – 3 so long as a tangent at \(x = 2\) has been drawn.