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3.5 Differentiation (A-level only)

3.5 Differentiation (A-level only)

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Question 19

The point P P\,P lies on the curve with equation y=xe2x2y = xe^{2x^2}y=xe2x2 with xxx-coordinate 1.

a.

Find an equation of the tangent to the curve at the point PPP.

[5]
b.

The tangent intersects the xxx-axis at the point A A\,A and the yyy-axis at the point BBB. Find the exact area of the triangle AOBAOBAOB, where O O\,O is the origin.

[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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