Using the chain rule to find derivative Could you help me figure this one out?
$$f(x) = 6e^{x\sin x}$$
$$f'(x) = \,?$$

Take things step-by-step:
Chain rule applies when you have a function of the form $f(x) = g(h(x))$.  So what is $g(x)$ in this case?  What is $h(x)$?
From there, we know $f'(x) = g'(h(x)) \cdot h'(x)$.  In computing $h'(x)$, you may need to apply the product rule, so be cautious.
