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3.5.4 Differentiation (A-level only)

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Question 11

The curve $C\,$ has the equation $x=12tan⁡y\displaystyle x = \frac{1}{2} \tan y$

Find $dxdy\displaystyle \frac{dx}{dy}$ in terms of $y$

[2]

Hence find $dydx\displaystyle \frac{dy}{dx}$ in terms of $x$

[4]

Markscheme

3.5.4 Differentiation (A-level only) Questions

A Level
Maths
3.5.4 Differentiation (A-level only)

82 exam-style questions on CCEA A Level Maths 3.5.4 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.5.4 Differentiation (A-level only)

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3.5.4 Differentiation (A-level only)

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Question 11

The curve $C\,$ has the equation $x=12tan⁡y\displaystyle x = \frac{1}{2} \tan y$

Find $dxdy\displaystyle \frac{dx}{dy}$ in terms of $y$

[2]

Hence find $dydx\displaystyle \frac{dy}{dx}$ in terms of $x$

[4]

Markscheme

3.5.4 Differentiation (A-level only) Questions

A Level
Maths
3.5.4 Differentiation (A-level only)

82 exam-style questions on CCEA A Level Maths 3.5.4 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.