# Quotient Rule

## Quotient Rule

The curve C has equation y=f(x) where

$f(x)=\frac{4x+1}{x-2},\hspace{0.5&space;cm}x>2$

(a) Show that

$f'(x)=\frac{-9}{(x-2)^2}$

Given that P is a point on C such f'(x)=-1,

(b) find the coordinates of P.

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