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Popular >

derivative of (y^3)/(39)+(13)/(4y)

Solution

derivative of

\frac{y ^{3}}{39} + \frac{13}{4 y}

Solution

\frac{y ^{2}}{13} - \frac{13}{4 y ^{2}}

Solution steps

\frac{d}{d y} (\frac{y ^{3}}{39} + \frac{13}{4 y})

Apply the Sum/Difference Rule:

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

= \frac{d}{d y} (\frac{y ^{3}}{39}) + \frac{d}{d y} (\frac{13}{4 y})

\frac{d}{d y} (\frac{y ^{3}}{39}) = \frac{y ^{2}}{13}

\frac{d}{d y} (\frac{13}{4 y}) = - \frac{13}{4 y ^{2}}

= \frac{y ^{2}}{13} - \frac{13}{4 y ^{2}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (y^3)/(39)+(13)/(4y) ?
The derivative of (y^3)/(39)+(13)/(4y) is (y^2)/(13)-(13)/(4y^2)
What is the first derivative of (y^3)/(39)+(13)/(4y) ?
The first derivative of (y^3)/(39)+(13)/(4y) is (y^2)/(13)-(13)/(4y^2)