AM-1748

Quotient rule

A Math · Secondary 4 · Medium · Quotient rule

The function is

f(x)=\dfrac{e^{2x}}{x+1}

, where

x\neq -1

. Find

f'(x)

in the form

\dfrac{e^{2x}(ax+b)}{(x+1)^2}

, where

a

and

b

are integers.

$\dfrac{e^{2x}(2x+1)}{(x+1)^2}$
$\dfrac{e^{2x}(2x-1)}{(x+1)^2}$
$\dfrac{e^{2x}(2x+1)}{x+1}$
$\dfrac{e^{2x}(x+2)}{(x+1)^2}$

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