\text { Use } g(x)=\frac{e^{x}+e^{-x}}{2} \text { to find the following derivatives. } \text { (a) } g^{\prime}(x)= \text { (b) } \frac{d}{d x}\left(g\left(x^{4}\right)\right)= \text { (c) } \frac{d}{d x}(g(x))^{5}=

\text { On a side note, } g(x)=\frac{e^{x}+e^{-x}}{2} \text { is also known as the hyperbolic function } \cosh (x) \text { . }