Differentiating powers of x and stationary pointsEdexcel A-Level Maths: Mind map

The rule

Tangent and normal

Stationary points

Differentiating powers

gradients and turning points

nx^(n-1)tangentstationary

Increasing / decreasing

Optimisation

Exam tips

Exam questions on Differentiating powers of x and stationary points

A curve has equation $y=(2x+5)(x-1)$ .
Find the $x$ -coordinate of the stationary point of the curve.2 marks
The function $f$ is defined by $f(x)=\frac{x^{2}+3x-5}{4x^{1/2}}$ for $x>0$ .
Find the exact value of $f'(4)$ .2 marks
A curve has equation $y=x^{3}-6x^{2}+9x+2$ .
Find the coordinates of the stationary points of the curve.3 marks

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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).