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1.10.4 Product, quotient and chain rules (A-level only)

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Question 54

The point P P\,P lies on the curve with equation y=12x−1\displaystyle y = \frac{1}{2x - 1}y=2x−11​ with xxx-coordinate 1.

a.

Find an equation for the normal to the curve at the point PPP.

[5]
b.

The normal intersects the curve again at the point QQQ. Find the exact coordinates of QQQ.

[2]

1.10.4 Product, quotient and chain rules (A-level only) Questions

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