Question

$$(sinh\frac{x}{a}+cosh\frac{x}{a})^{nx}$$

Evaluate

$\left(\sinh(\frac{x}{a})+\cosh(\frac{x}{a})\right)^{nx}$

Differentiate w.r.t. x

$\frac{n\left(\ln(\sinh(\frac{x}{a})+\cosh(\frac{x}{a}))a+x\right)\left(\sinh(\frac{x}{a})+\cosh(\frac{x}{a})\right)^{nx}}{a}$