What is the derivative of 4/x+x^2 ?

The derivative of 4/x+x^2 is -4/(x^2)+2x

What is the first derivative of 4/x+x^2 ?

The first derivative of 4/x+x^2 is -4/(x^2)+2x

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\frac{d}{d x} (\frac{4}{x} + x^{2})

- \frac{4}{x ^{2}} + 2 x

Solution steps

\frac{d}{d x} (\frac{4}{x} + x^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{4}{x}) + \frac{d}{d x} (x^{2})

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

\frac{d}{d x} (x^{2}) = 2 x

= - \frac{4}{x ^{2}} + 2 x

What is the derivative of 4/x+x^2 ?
The derivative of 4/x+x^2 is -4/(x^2)+2x
What is the first derivative of 4/x+x^2 ?
The first derivative of 4/x+x^2 is -4/(x^2)+2x