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Popular >

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

Solution

derivative of

\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}}

Popular Examples

(\partial)/(\partial x)((e^{-x})/(x^2+y^2))

\frac{\partial}{\partial x} (\frac{e ^{- x}}{x ^{2} + y ^{2}})

y^{''}+1.5y^'+0.37y=0,y(0)=2,y^'(0)=1

y^{^{''}} + 1.5 y^{^{'}} + 0.37 y = 0, y (0) = 2, y^{^{'}} (0) = 1

(\partial)/(\partial y)(e^{xy}cos(x^2))

\frac{\partial}{\partial y} (e^{x y} cos (x^{2}))

sum from n=1 to infinity of 3/(n^2+5)

n = 1 \sum \infty \frac{3}{n ^{2} + 5}

integral of sec(6x)

\int sec (6 x) d x

Frequently Asked Questions (FAQ)

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