Solution
= Solution
The outer <exponential function> differentiates to itself, and the inner <sine> has <derivative> <cosine>. The <chain rule> gives
$$
\boxed{\frac d{dx}e^{\sin x}=e^{\sin x}\cos x.}
$$
= Solution
The outer <exponential function> differentiates to itself, and the inner <sine> has <derivative> <cosine>. The <chain rule> gives
$$
\boxed{\frac d{dx}e^{\sin x}=e^{\sin x}\cos x.}
$$