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9.3 The Chain Rule

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Question 36

The point P P\,P lies on the curve with equation y=22x+1\displaystyle y = \frac{2}{\sqrt{2x + 1}}y=2x+1​2​. The tangent to the curve at the point P P\,P has equation y=−2125x+74125\displaystyle y = -\frac{2}{125}x + \frac{74}{125}y=−1252​x+12574​.

a.

Find the x x\,x coordinate of PPP.

[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.

A coordinate-axis sketch of the curve y = 2/√(2x + 1) and its tangent at P, with the tangent meeting the axes at A and B and the origin marked O.

[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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