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1.7.18 Chain rule (A-level only)

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Question 32

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.

[4]

1.7.18 Chain rule (A-level only) Questions

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