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1.10 G: Differentiation

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Question 70

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

1.10 G: Differentiation Questions

A Level
Maths
1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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