Find the derivative of y.
-$$y = \sinh ^ { 2 } 7 x$$
A) $2 \sinh 7 x \cosh 7 x$
B) $2 \cosh 7 x$
C) $14 \sinh 7 x \cosh 7 x$
D) $14 \cosh 7 x$

Question

Quizplus · Accepted Answer

The derivative of $y = \sinh^2 7x$ can be found using the chain rule and the derivative of $\sinh x$, which is $\cosh x$. The outer function is $u^2$ (with $u = \sinh 7x$), and its derivative is $2u$. The inner function is $\sinh 7x$, and its derivative is $7\cosh 7x$. Applying the chain rule, we get $2 \sinh 7x \cdot 7 \cosh 7x = 14 \sinh 7x \cosh 7x$.

Find the Derivative of Y y=sinh⁡27xy = \sinh ^ { 2 } 7 xy=sinh27x

Find the Derivative of Y $y = \sinh ^ { 2 } 7 x$