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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Differentiation

NDA 2013 · Mathematics · Differentiation

What is the derivative of ( x) ?

What is the derivative of sin⁡(sin⁡x)\sin (\sin x) ?

Options

  1. A\cos (\cos x)
  2. B\cos (\sin x)
  3. C\cos (\sin x) \cos x
  4. D\cos (\cos x) \cos x

Correct answer

C. \cos (\sin x) \cos x

Step-by-step solution

y=sin⁡(sin⁡x)dydx=ddx(sin⁡(sin⁡x))=cos⁡(sin⁡x)⋅cos⁡xy=\sin (\sin x)\frac{d y}{d x}=\frac{d}{d x}(\sin (\sin x))=\cos (\sin x) \cdot \cos x
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