If , then at…

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

Problem

y=\tan^{-1}\left(\frac{2^x}{1+2^{2x+1}}\right)

, then

\frac{dy}{dx}

x=0

is (a)

1

(b)

2

(c)

\ln 2

(d) None of these

Related theory

Inverse Trigonometric Functions
Trigonometric Functions
Advanced Differentiation
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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