Find the derivative of y.
-$$y = \sinh ^ { 2 } 4 x$$
A) 2 sinh 4x cosh 4x
B) 2 cosh 4x
C) 8 cosh 4x
D) 8 sinh 4x cosh 4x

Name: Find the derivative of y. -\[y = \sinh ^ { 2 } 4 x\] A) 2 sinh 4x cosh 4x B) 2 cosh 4x C) 8 cosh 4x D) 8 sinh 4x cosh 4x
Brand: Quizplus
Rating: 4.8 (34 reviews)

Question

Quizplus · Accepted Answer

Using the chain rule:

\begin{align*}
\frac{d}{dx}\left(\sinh^2 4xight) &= 2\sinh 4x\cdot \frac{d}{dx}(\sinh 4x)\
&= 2\sinh 4x \cdot \cosh 4x \cdot 4\
&= 8\sinh 4x\cosh 4x
\end{align*}

Therefore, the answer is (D).

Find the Derivative of Y y=sinh⁡24xy = \sinh ^ { 2 } 4 xy=sinh24x

Find the Derivative of Y $y = \sinh ^ { 2 } 4 x$