AP Calculus ABmediummcq1 pt
If f(x) = sin(3x^2), then f'(x) =
A.B) 6x cos(3x^2)
B.A) cos(3x^2)
C.C) 3 cos(3x^2)
D.D) 6x sin(3x^2)
Explanation
Core Concept
This requires the chain rule. The derivative of sin(u) is cos(u) · u', where u = 3x^2. So f'(x) = cos(3x^2) · 6x = 6x cos(3x^2).
Correct Answer
AB) 6x cos(3x^2)
Practice more AP Calculus AB questions with AI-powered explanations
Practice Unit 2: Differentiation: Definition and Basic Derivative Rules Questions →