AP

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

2. Calculate

\displaystyle \left.\frac{d}{dx}\bigl[\sin(2x^{2})\bigr]\right|_{x=0}

. (a)

4

(b)

2

(c)

0

(d)

1

Related theory

Advanced Differentiation
Differentiation Rules
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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