MathAnalysisCalculusDerivatives

A composite function and its derivative

A composite function and a quotient

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Find a derivative of the function $G(x) = \left(\dfrac{x}{1+x^2}\right)^2$ .

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\dfrac{(1-x^2)^2}{(1+x^2)^4}

\dfrac{2x}{1+x^2}

\dfrac{x-x^3}{(1+x^2)^3}

\dfrac{2x-2x^3}{(1+x^2)^3}

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