Consider the function f(x)= x^ 2 x-x x x^ 2 +1

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

Problem

Consider the function

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

Find

f'(x)

and simplify your answer so that the numerator contains no like terms that can be collected together.

Related theory

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

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