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9.3 The Chain Rule

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Question 35

The point P P\,P lies on the curve with equation y=k2x+1\displaystyle y = \frac{k}{\sqrt{2x + 1}}y=2x+1​k​ with x x\,x coordinate 4, where k k\,k is a positive constant.

a.

Find an equation to the tangent to the curve at the point PPP, in terms of kkk.

[5]
b.

The tangent intersects the x x\,x axis at the point A A\,A and the y y\,y axis at the point BBB. Find the exact area of the triangle AOBAOBAOB, where O O\,O is the origin, in terms of kkk.

A coordinate sketch showing a decreasing curve and its tangent at P, with A and B on the positive axes and O at the origin.

[4]
Markscheme

9.3 The Chain Rule Questions

  1. A Level
  2. /Maths
  3. /9.3 The Chain Rule

58 exam-style questions on Edexcel A Level Maths 9.3 The Chain Rule. Each one has a worked solution and a mark scheme showing where the marks go.

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