What is the derivative of 2/x-1/(x^2) ?

The derivative of 2/x-1/(x^2) is -2/(x^2)+2/(x^3)

What is the first derivative of 2/x-1/(x^2) ?

The first derivative of 2/x-1/(x^2) is -2/(x^2)+2/(x^3)

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\frac{d}{d x} (\frac{2}{x} - \frac{1}{x ^{2}})

- \frac{2}{x ^{2}} + \frac{2}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{2}{x} - \frac{1}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{2}{x}) - \frac{d}{d x} (\frac{1}{x ^{2}})

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

\frac{d}{d x} (\frac{1}{x ^{2}}) = - \frac{2}{x ^{3}}

= - \frac{2}{x ^{2}} - (- \frac{2}{x ^{3}})

Simplify

= - \frac{2}{x ^{2}} + \frac{2}{x ^{3}}

What is the derivative of 2/x-1/(x^2) ?
The derivative of 2/x-1/(x^2) is -2/(x^2)+2/(x^3)
What is the first derivative of 2/x-1/(x^2) ?
The first derivative of 2/x-1/(x^2) is -2/(x^2)+2/(x^3)