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1.9.16 Implicit differentiation (A-level only)

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Question 4

The point P P\,P lies on the curve with equation y=83x+1\displaystyle y = \frac{8}{3x + 1}y=3x+18​ 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]

1.9.16 Implicit differentiation (A-level only) Questions

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