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3.6 Differentiation (A-level only)

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Question 60

A curve has equation

5y^2 + 2x = 5ye^{-3x}

Find $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[4]

The curve crosses the $y$ -axis at the origin and at the point $P$ .

Find the equation of the normal to the curve at $P$ , writing your answer in the form $y = m x + c$ where $m$ and $c$ are constants to be found.

[5]

Markscheme

3.6 Differentiation (A-level only) Questions

A Level
Maths
3.6 Differentiation (A-level only)

332 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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