AP Calculus ABmediummcq1 pt

If f(x) = sin(3x²), then f'(x) =

A.B) 6x cos(3x²)

B.A) cos(3x²)

C.C) 3 cos(3x²)

D.D) 6x sin(3x²)

Explanation

This requires the chain rule. The derivative of sin(u) is cos(u) · u', where u = 3x². So f'(x) = cos(3x²) · 6x = 6x cos(3x²).

AB) 6x cos(3x²)

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