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Popular >

derivative of (y^3)/(30)+5/(2y)

Solution

derivative of

\frac{y ^{3}}{30} + \frac{5}{2 y}

Solution

\frac{y ^{2}}{10} - \frac{5}{2 y ^{2}}

Solution steps

\frac{d}{d y} (\frac{y ^{3}}{30} + \frac{5}{2 y})

Apply the Sum/Difference Rule:

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

= \frac{d}{d y} (\frac{y ^{3}}{30}) + \frac{d}{d y} (\frac{5}{2 y})

\frac{d}{d y} (\frac{y ^{3}}{30}) = \frac{y ^{2}}{10}

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

= \frac{y ^{2}}{10} - \frac{5}{2 y ^{2}}

Popular Examples

derivative of ln(1+x)derivative of

ln (1 + x)

integral of sqrt(1+cos(t))

\int 1 + cos (t) d t

inverse oflaplace 1/(s^2+12s+100)inverse laplace

\frac{1}{s ^{2} + 12 s + 100}

integral from 0 to 1 of sqrt(1+12x)

\int_{0}^{1} 1 + 12 x d x

limit as x approaches 7 of sqrt(3)

x \to 7 lim (3)

Frequently Asked Questions (FAQ)

What is the derivative of (y^3)/(30)+5/(2y) ?
The derivative of (y^3)/(30)+5/(2y) is (y^2)/(10)-5/(2y^2)
What is the first derivative of (y^3)/(30)+5/(2y) ?
The first derivative of (y^3)/(30)+5/(2y) is (y^2)/(10)-5/(2y^2)