Find the derivative of $y = \sinh ( \sin ( 7 x ) )$ .
A) $- 7 \cosh ( \cos ( 7 x ) )$
B) $7 \cosh ( \cos ( 7 x ) )$
C) $- 7 \cos ( 7 x ) \cdot \cosh ( \sin ( 7 x ) )$
D) $7 \cos ( 7 x ) \cdot \cosh ( \sin ( 7 x ) )$

Question

Quizplus · Accepted Answer

The derivative of $y = \sinh ( \sin ( 7 x ) )$ is found using the chain rule. First, differentiate $\sinh(u)$ with respect to $u$ to get $\cosh(u)$, where $u = \sin(7x)$. Then, differentiate $u = \sin(7x)$ with respect to $x$ to get $7\cos(7x)$. Multiply these derivatives together to get $7 \cos ( 7 x ) \cdot \cosh ( \sin ( 7 x ) )$.

Find the Derivative Of y=sinh⁡(sin⁡(7x))y = \sinh ( \sin ( 7 x ) )y=sinh(sin(7x))

Find the Derivative Of $y = \sinh ( \sin ( 7 x ) )$