Find the derivative of y.
-$$y = \operatorname { csch } \frac { 4 x } { 11 }$$
A) $- \operatorname { csch } \frac { 4 x } { 11 } \operatorname { coth } \frac { 4 x } { 11 }$
B) $\operatorname { csch } \frac { 4 x } { 11 } \operatorname { coth } \frac { 4 x } { 11 }$
C) $\frac { 4 } { 11 } \operatorname { csch } \frac { 4 x } { 11 } \operatorname { coth } \frac { 4 x } { 11 }$
D) $- \frac { 4 } { 11 } \operatorname { csch } \frac { 4 x } { 11 } \operatorname { coth } \frac { 4 x } { 11 }$

Question

Quizplus · Accepted Answer

The derivative of $y = \operatorname{csch}(u)$, where $u = \frac{4x}{11}$, is given by $y' = -\operatorname{csch}(u) \operatorname{coth}(u) \frac{du}{dx}$. Here, $\frac{du}{dx} = \frac{4}{11}$, so the derivative is $-\frac{4}{11} \operatorname{csch}\left(\frac{4x}{11}\right) \operatorname{coth}\left(\frac{4x}{11}\right)$.

Find the Derivative of Y y=csch⁡4x11y = \operatorname { csch } \frac { 4 x } { 11 }y=csch114x​

Find the Derivative of Y $y = \operatorname { csch } \frac { 4 x } { 11 }$