Edexcel IGCSEAdditional MathematicsGeneral Applications8 Marks
A curve C has equation y = 3x² - 12x + 10.
- (a)Find dy/dx.[2]
- (b)Find the coordinates of the turning point of C.[3]
- (c)Find the exact area of the region bounded by the curve C, the x-axis, and the lines x=1 and x=3.[3]
Mark scheme
Marking points from the official mark scheme. The mark or mark type is shown in brackets.
- M1 for differentiating xⁿ → nxⁿ⁻¹ for at least one term (not constant) in part (a)
- A1 for 6x - 12 (cao)
- M1 for setting dy/dx = 0
- A1 for x=2 (cao)
- A1 for $(2, -2)$ (cao)
- M1 for attempting to integrate y with respect to x for part (c)
- A1 for correct integrated expression [x³ - 6x² + 10x] (ignore limits)
- A1 for $2$ (cao)
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