For the function defined on

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

Problem

For the function

h(x)=(x^{3}+2x)\sin x

defined on

(0,\pi)

, determine all values of

x

where the graph of

h

has a horizontal tangent line.

Related theory

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

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