Find the derivative of the function. These do all require the chain rule.

Answer

*h*(*x*) = e^{{ sin x}}

the outside function is

*e*^{{□}}

and the inside function is

sin* x*.

The derivative of the outside function is also

*e*^{{□}},

and using the inside function for input gets us

*e*^{sin x}.

Then we multiply by the derivative of the inside function, which is cos *x*, to reach the final answer:

*h'*(*x*) = *e*^{{sin x}} × cos *x*.