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MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Evaluate

\dfrac{d}{dx}\bigl[e^{x}\tan x\bigr]

x=\dfrac{\pi}{4}

. (a)

(1+\sqrt2)e^{\pi/4}

(b)

3e^{\pi/4}

(c)

2e^{\pi/4}

(d)

(1+2\sqrt2)e^{\pi/4}

Related theory

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

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