Verify that is an antiderivative of the function .

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

Problem

Verify that

F(x)=\tan^{-1}x

is an antiderivative of the function

f(x)=\dfrac{1}{1+x^{2}}

Related theory

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

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