Determine whether is a solution of

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Determine whether

y = x^{3}\cos x

is a solution of

\dfrac{dy}{dx}=3x^{2}\cos x - x^{3}\sin x

. State "yes" or "no" and provide the computed value of

\dfrac{dy}{dx}

for the given

y

Related theory

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

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