Find the derivative of $y = \tanh ( 7 x )$ .
A) $\frac { 7 } { \cosh ^ { 2 } ( 7 x ) }$
B) $- \frac { 7 } { \cosh ^ { 2 } ( 7 x ) }$
C) $\frac { 7 \left( \cosh ^ { 2 } ( 7 x ) + \sinh ^ { 2 } ( 7 x ) \right) } { \cosh ^ { 2 } ( 7 x ) }$
D) $- \frac { 7 \left( \cosh ^ { 2 } ( 7 x ) + \sinh ^ { 2 } ( 7 x ) \right) } { \cosh ^ { 2 } ( 7 x ) }$

Question

Quizplus · Accepted Answer

The derivative of $\tanh(x)$ is $\frac{1}{\cosh^2(x)}$. Applying the chain rule for $\tanh(7x)$, we get $\frac{d}{dx} \tanh(7x) = 7 \cdot \frac{1}{\cosh^2(7x)}$.

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

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