Differentiate and state whether is an antiderivative of .

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

Problem

Differentiate

G(x)=\dfrac{1}{5}\,(x^{2}+1)^{5}

and state whether

G

is an antiderivative of

f(x)=x\,(x^{2}+1)^{4}

Related theory

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

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