## Task Condition

Find the derivative.

$y=-\frac{12 \operatorname{sh}^{2} x+1}{3 \operatorname{sh}^{2} x}$
## Solution

$$
\begin{aligned}
& y^{\prime}=\left(-\frac{12 \operatorname{sh}^{2} x+1}{3 \operatorname{sh}^{2} x}\right)^{\prime}=\left(-4+\frac{1}{3 \operatorname{sh}^{2} x}\right)^{\prime}= \\
& =0+(-2) \cdot \frac{1}{3 \operatorname{sh}^{3} x} \cdot \operatorname{ch} x=-\frac{2 \operatorname{ch} x}{3 \operatorname{sh}^{3} x}
\end{aligned}
$$

## Problem Kuznetsov Differentiation 11-16