Differentiate and simplify the result by taking out any common factor.

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

Problem

Differentiate

y=\dfrac{(x^{2}+1)\sin x + x\cos x}{x^{2}-\sin x}

and simplify the result by taking out any common factor.

Related theory

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

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