Mathematics A 9-1 4MA1: Differentiation and Kinematics Topical Past Paper Questions

Curve C has equation $ y = x^3 - 16x + 7 $ At two points on C, the gradient is 11 The tangents to C at these two points have equations of the form $ y = ax + b $ Work out the two possible values of b Show clear algebraic working. 6 marks

The curve with equation $ y = 2x^{4} - 64x $ has a minimum point. Find an equation of the tangent to the curve at the minimum point. Show clear algebraic working.

The curve T has equation $y = x^{3} - 2x^{2} - 9x + 15$ (a) Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ $$ \frac{\mathrm{d}y}{\mathrm{d}x}= $$ (b) Find the range of values of x for which T has a positive gradient. Give your values correct to 3 significant figures. Show your working cl…