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Question 360003
JEE Mathematics · Easy

Differentiability: Chain rule MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Chain ruleEasyQuestion 360003

Question

d/dx [f(g(x))] equals:
  1. A
    f'(g(x)) × g'(x)
    Correct
  2. B
    f'(x) × g'(x)
  3. C
    f(g'(x))
  4. D
    f'(g(x))

Correct answer

f'(g(x)) × g'(x)

Explanation

Chain rule: if y = f(g(x)), then dy/dx = f'(g(x)) × g'(x). Example: d/dx(sin x²) = cos(x²) × 2x.

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