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Popular Calculus >

derivative of f(x)=(x^3)/(24)+2/x

Solution

derivative of

f (x) = \frac{x ^{3}}{24} + \frac{2}{x}

Solution

\frac{x ^{2}}{8} - \frac{2}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{24} + \frac{2}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{3}}{24}) + \frac{d}{d x} (\frac{2}{x})

\frac{d}{d x} (\frac{x ^{3}}{24}) = \frac{x ^{2}}{8}

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

= \frac{x ^{2}}{8} - \frac{2}{x ^{2}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(x^3)/(24)+2/x ?
The derivative of f(x)=(x^3)/(24)+2/x is (x^2)/8-2/(x^2)
What is the first derivative of f(x)=(x^3)/(24)+2/x ?
The first derivative of f(x)=(x^3)/(24)+2/x is (x^2)/8-2/(x^2)