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9.8 Implicit Differentiation

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Question 27

A curve CCC has equation

y=xcos⁡xx>0,y>0 y = x^{\cos x} \quad x > 0, \quad y > 0 y=xcosxx>0,y>0
a.

Find, by firstly taking natural logarithms, an expression for dydx\frac{dy}{dx}dxdy​ in terms of xxx and yyy.

[4]
b.

Hence show that the xxx-coordinates of the stationary points of CCC are solutions of the equation

sin⁡(x)⋅xln⁡x=cos⁡x \sin(x) \cdot x \ln x = \cos x sin(x)⋅xlnx=cosx
[3]

9.8 Implicit Differentiation Questions

  1. A Level
  2. /Maths
  3. /9.8 Implicit Differentiation

Practise Edexcel A Level Maths 9.8 Implicit Differentiation with exam-style questions for A Level Maths. 48 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank