Verify that is an antiderivative of by differentiating and simplifying the result.

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

Problem

Verify that

H(x)=\dfrac{(3x^{2}+2)^{5}}{5}

is an antiderivative of

h(x)=6x\,(3x^{2}+2)^{4}

by differentiating

H

and simplifying the result.

Related theory

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

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