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Indian Navy 10+2 B.Tech Cadet Differentiation — practice questions

Explore 1 free Differentiation questions in Indian Navy 10+2 B.Tech Cadet Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Differentiation questions and exercises with answers

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If $y = \sin(\cos x)$, then $\dfrac{dy}{dx}$ equals:Read the answer and worked solution →

Worked practice questions

If $y = \sin(\cos x)$, then $\dfrac{dy}{dx}$ equals:

  1. $-\cos(\cos x) \cdot \sin(\cos x)$
  2. $-\sin x \cos(\cos x)$
  3. $\sin x \cdot \cos(\cos x)$
  4. $\cos(\cos x)$
Show answer and solution

Correct answer: B. $-\sin x \cos(\cos x)$

Chain rule: $dy/dx = \cos(\cos x) \cdot d/dx(\cos x) = \cos(\cos x) \cdot (-\sin x) = -\sin x \cos(\cos x)$.

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