Let . Determine and then evaluate this derivative at…

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

Problem

Let

y=\tan(3x)

. Determine

\dfrac{dy}{dx}

and then evaluate this derivative at

x = \dfrac{\pi}{6}

Related theory

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

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