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3.5 Differentiation (A-level only)

3.5 Differentiation (A-level only)

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Question 122

The cross-section of a custom aerodynamic fairing is modeled by a curve with equation

2y2+3x=4ye0.5x 2y^2 + 3x = 4ye^{0.5x} 2y2+3x=4ye0.5x
a.

Determine an expression for dydx\frac{dy}{dx}dxdy​ in terms of xxx and yyy.

[4]
b.

The curve intersects the yyy-axis at the origin and at a 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.

[4]
Markscheme

3.5 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5 Differentiation (A-level only)

263 exam-style questions on CCEA A Level Maths 3.5 Differentiation (A-level only), covering 3.5.1 Differentiation (A-level only), 3.5.2 Differentiation (A-level only), 3.5.3 Differentiation (A-level only), 3.5.4 Differentiation (A-level only), 3.5.5 Differentiation (A-level only), and 3.5 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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