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Question: Answered & Verified by Expert
If $f(x)=2^{\sin x}$, then what is the derivative of $f(x)$?
MathematicsApplication of DerivativesNDANDA 2012 (Phase 2)
Options:
  • A $2^{\sin x} \ln 2$
  • B $(\sin x) 2^{2 \sin x-1}$
  • C $(\cos x) 2^{2 \sin x-1}$
  • D None of the above
Solution:
2356 Upvotes Verified Answer
The correct answer is: None of the above
Let $f(x)=2^{\sin x}$.
$\mathrm{f}^{\prime}(\mathrm{x})=2^{\sin \mathrm{x}} . \ln 2 \cos \mathrm{x}$

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