What is the derivative of 1/(3s^2)-5/(2s) ?

The derivative of 1/(3s^2)-5/(2s) is -2/(3s^3)+5/(2s^2)

What is the first derivative of 1/(3s^2)-5/(2s) ?

The first derivative of 1/(3s^2)-5/(2s) is -2/(3s^3)+5/(2s^2)

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derivative of

\frac{1}{3 s ^{2}} - \frac{5}{2 s}

- \frac{2}{3 s ^{3}} + \frac{5}{2 s ^{2}}

Solution steps

\frac{d}{d s} (\frac{1}{3 s ^{2}} - \frac{5}{2 s})

Apply the Sum/Difference Rule:

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

= \frac{d}{d s} (\frac{1}{3 s ^{2}}) - \frac{d}{d s} (\frac{5}{2 s})

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

\frac{d}{d s} (\frac{5}{2 s}) = - \frac{5}{2 s ^{2}}

= - \frac{2}{3 s ^{3}} - (- \frac{5}{2 s ^{2}})

Simplify

= - \frac{2}{3 s ^{3}} + \frac{5}{2 s ^{2}}

What is the derivative of 1/(3s^2)-5/(2s) ?
The derivative of 1/(3s^2)-5/(2s) is -2/(3s^3)+5/(2s^2)
What is the first derivative of 1/(3s^2)-5/(2s) ?
The first derivative of 1/(3s^2)-5/(2s) is -2/(3s^3)+5/(2s^2)