If f(x) = sin(cos(x²)), what is f'(x)? A. −2x sin(x²) cos(cos(x²)) B. 2x sin(x²) cos(cos(x²)) C. −2x cos(x²) sin(cos(x²)) D. cos(cos(x²)) Answer: A) −2x sin(x²) cos(cos(x²)) Explanation: Chain rule 3 times: cos(cos(x²)) × d/dx(cos(x²)) = cos(cos(x²)) × (−sin(x²)) × 2x = −2x sin(x²) cos(cos(x²)).

imo class 12 continuity and differentiability

If f(x) = sin(cos(x²)), what is f'(x)?

VAVidaara Admin Asked 6d ago 0 views 0 answers

If f(x) = sin(cos(x²)), what is f'(x)?

Answer: A) −2x sin(x²) cos(cos(x²))

Explanation: Chain rule 3 times: cos(cos(x²)) × d/dx(cos(x²)) = cos(cos(x²)) × (−sin(x²)) × 2x = −2x sin(x²) cos(cos(x²)).

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