If , what is…

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

Problem

y=\arctan\bigl(e^{2x}\bigr)

, what is

y'(0)

? (a)

2

(b)

\dfrac{1}{2}

(c)

1

(d)

0

Related theory

Advanced Differentiation
Derivatives of standard functions via chain rule
Derivatives of inverse trigonometric functions
Continuity and Differentiability

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