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1.9.14 Chain rule (A-level only)

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Question 28

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​ with x x\,x coordinate 4

a.

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

Coordinate axes show a decreasing curve, its tangent at P, and the intercepts A and B with origin O.

[4]
Markscheme

1.9.14 Chain rule (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.9.14 Chain rule (A-level only)

50 exam-style questions on OCR (MEI) A Level Maths 1.9.14 Chain rule (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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