What is the derivative of y=-3/x+2/(x^3) ?

The derivative of y=-3/x+2/(x^3) is 3/(x^2)-6/(x^4)

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

The first derivative of y=-3/x+2/(x^3) is 3/(x^2)-6/(x^4)

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derivative of

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

\frac{3}{x ^{2}} - \frac{6}{x ^{4}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

= - (- \frac{3}{x ^{2}}) - \frac{6}{x ^{4}}

Simplify

= \frac{3}{x ^{2}} - \frac{6}{x ^{4}}

What is the derivative of y=-3/x+2/(x^3) ?
The derivative of y=-3/x+2/(x^3) is 3/(x^2)-6/(x^4)
What is the first derivative of y=-3/x+2/(x^3) ?
The first derivative of y=-3/x+2/(x^3) is 3/(x^2)-6/(x^4)