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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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\frac{\partial}{\partial z} (x y + yz - x z)

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\int_{0}^{2} \frac{2 x}{( x ^{2} + 5 ) ^{3}} d x

Frequently Asked Questions (FAQ)

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