If $f(x)=2^{\sin x}$, then what is the derivative of $f(x)$ ?

• A

  $2^{\sin x} \ln 2$
• B

  $(\sin x) 2^{\sin x-1}$
• C

  $(\cos x) 2^{\sin x-1}$
• Correct answer
  D

  None of the above

Hence, the correct answer is option: 'D'.