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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 278

A curve has equation

5y2+2x=5ye−3x 5y^2 + 2x = 5ye^{-3x} 5y2+2x=5ye−3x
a.

Find dydx\frac{dy}{dx}dxdy​ in terms of xxx and yyy.

[4]
b.

The curve crosses the yyy-axis at the origin and at the point PPP.

Find the equation of the normal to the curve at PPP, writing your answer in the form y=mx+cy = mx + cy=mx+c where mmm and ccc are constants to be found.

[5]
Markscheme

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 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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