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9.8 Implicit Differentiation

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Question 27

A curve $C$ has equation

x^{\cos x} \quad x > 0, \quad y > 0

Find, by firstly taking natural logarithms, an expression for $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[4]

Hence show that the $x$ -coordinates of the stationary points of $C$ are solutions of the equation

\sin(x) \cdot x \ln x = \cos x

[3]

Markscheme

9.8 Implicit Differentiation Questions

A Level
Maths
9.8 Implicit Differentiation

47 exam-style questions on Edexcel A Level Maths 9.8 Implicit Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

9.8 Implicit Differentiation

Question bank

9.8 Implicit Differentiation

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 27

A curve $C$ has equation

x^{\cos x} \quad x > 0, \quad y > 0

Find, by firstly taking natural logarithms, an expression for $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[4]

Hence show that the $x$ -coordinates of the stationary points of $C$ are solutions of the equation

\sin(x) \cdot x \ln x = \cos x

[3]

Markscheme

9.8 Implicit Differentiation Questions

A Level
Maths
9.8 Implicit Differentiation

47 exam-style questions on Edexcel A Level Maths 9.8 Implicit Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.