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Popular >

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

Solution

derivative of

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

Solution

- \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}}

Popular Examples

area y=3sqrt(x),y=x area

y = 3 x, y = x

derivative of ln(x^4sqrt(8-6x))

\frac{d}{d x} (ln (x^{4} 8 - 6 x))

derivative of g(x)=(1-3x)/(5+x)derivative of

g (x) = \frac{1 - 3 x}{5 + x}

derivative of tan^2(4x)derivative of

tan^{2} (4 x)

inverse oflaplace 1/((s^2+2s+2))inverse laplace

\frac{1}{( s ^{2} + 2 s + 2 )}

Frequently Asked Questions (FAQ)

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)