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Popular >

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

Solution

\frac{d}{d 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}}

Popular Examples

derivative of cos(xy-3y^4+3)

\frac{d}{d x} (cos (x y) - 3 y^{4} + 3)

(\partial)/(\partial x)(A/(x+sqrt(5)x))

\frac{\partial}{\partial x} (\frac{A}{x + 5 x})

derivative of (1+sqrt(x)(x^3))

\frac{d}{d x} ((1 + x) (x^{3}))

(\partial)/(\partial y)(x^{1/3}y^{2/3})

\frac{\partial}{\partial y} (x^{\frac{1}{3}} y^{\frac{2}{3}})

integral of (x^2+6x+2)/(x^3+9x^2+6x+9)

\int \frac{x ^{2} + 6 x + 2}{x ^{3} + 9 x ^{2} + 6 x + 9} 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)