Differentiate the function y=(x^ 3 +x)

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

Problem

Differentiate the function

y=(x^{3}+x)\,\sec x\,(\sin x+x^{2}).

Express

\dfrac{dy}{dx}

completely in expanded form, showing every term produced by each application of differentiation rules.

Related theory

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

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