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Popular >

derivative of (y^3)/(18)+3/(2y)

Solution

derivative of

\frac{y ^{3}}{18} + \frac{3}{2 y}

Solution

\frac{y ^{2}}{6} - \frac{3}{2 y ^{2}}

Solution steps

\frac{d}{d y} (\frac{y ^{3}}{18} + \frac{3}{2 y})

Apply the Sum/Difference Rule:

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

= \frac{d}{d y} (\frac{y ^{3}}{18}) + \frac{d}{d y} (\frac{3}{2 y})

\frac{d}{d y} (\frac{y ^{3}}{18}) = \frac{y ^{2}}{6}

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

= \frac{y ^{2}}{6} - \frac{3}{2 y ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of (y^3)/(18)+3/(2y) ?
The derivative of (y^3)/(18)+3/(2y) is (y^2)/6-3/(2y^2)
What is the first derivative of (y^3)/(18)+3/(2y) ?
The first derivative of (y^3)/(18)+3/(2y) is (y^2)/6-3/(2y^2)