Find the derivative of $y = \cosh ^ { 2 } ( 6 x ) + \sinh ^ { 2 } ( 6 x )$ .
A) $12 \cosh ( 6 x ) + 12 \sinh ( 6 x )$
B) $24 \cosh ( 6 x ) \sinh ( 6 x )$
C) $12 \sinh ^ { 2 } ( 6 x ) + 12 \cosh ^ { 2 } ( 6 x )$
D)0

Question

Quizplus · Accepted Answer

The derivative of $\cosh ^ { 2 } ( 6 x )$ is $2 \cosh ( 6 x ) \sinh ( 6 x )$, and the derivative of $\sinh ^ { 2 } ( 6 x )$ is $2 \sinh ( 6 x ) \cosh ( 6 x )$. So the derivative of $y = \cosh ^ { 2 } ( 6 x ) + \sinh ^ { 2 } ( 6 x )$ is $2 \cosh ( 6 x ) \sinh ( 6 x ) + 2 \sinh ( 6 x ) \cosh ( 6 x ) = 4 \cosh ( 6 x ) \sinh ( 6 x )$.

Find the Derivative Of y=cosh⁡2(6x)+sinh⁡2(6x)y = \cosh ^ { 2 } ( 6 x ) + \sinh ^ { 2 } ( 6 x )y=cosh2(6x)+sinh2(6x)

Find the Derivative Of $y = \cosh ^ { 2 } ( 6 x ) + \sinh ^ { 2 } ( 6 x )$