Answer
$$g'(x)=2\sinh x\cosh x$$
Work Step by Step
$g'(x)=\frac{d}{dx}\sinh^2 x$
Using the chain rule:
$g'(x)=\frac{d\sinh^2 x}{d \sinh x}
\times \frac{d\sinh x}{dx}$
$=2\sinh x
\times \cosh x$
$=2\sinh x\cosh x$
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