Apentix/AP Calculus AB/Unit 3: Differentiation: Composite, Implicit, and Inverse Functions/Question
AP Calculus ABmediummcq1 pt

If y = e^(3x²), then dy/dx =

A.6x·e^(3x²)
B.e^(3x²)
C.3x²·e^(3x²-1)
D.6xe^(3x²-1)

Explanation

Core Concept

Using chain rule: dy/dx = e^(3x²) · d/dx(3x²) = e^(3x²) · 6x = 6x·e^(3x²).

Correct Answer

A6x·e^(3x²)

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