$y=e^{\sin 2 x}$, then $\frac{d y}{d x}$

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Continuity and Differentiability

Question:

$y=e^{\sin 2 x}$, then $\frac{d y}{d x}$ is

Options:

x cos 2x

2y cos 2x

xy cos 2x

none of these

Correct Answer:

2y cos 2x

Explanation:

$y=e^{\sin 2 x} \Rightarrow \frac{d y}{d x}=e^{\sin 2 x} \cos 2 x . 2=2 e^{\sin 2 x} . \cos 2 x$

Hence (2) is correct answer.