AP

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

Problem

Determine

\displaystyle \frac{d}{dx}\bigl(10\sin(3x)\bigr)

. (a)

10\cos(3x)

(b)

-30\cos(3x)

(c)

30\cos(3x)

(d)

30\sin(3x)

Related theory

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

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