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Popular >

derivative of (x^4/8+1/(4x^2))

Solution

\frac{d}{d x} (\frac{x ^{4}}{8} + \frac{1}{4 x ^{2}})

Solution

\frac{x ^{3}}{2} - \frac{1}{2 x ^{3}}

Solution steps

\frac{d}{d x} (\frac{x ^{4}}{8} + \frac{1}{4 x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{4}}{8}) + \frac{d}{d x} (\frac{1}{4 x ^{2}})

\frac{d}{d x} (\frac{x ^{4}}{8}) = \frac{x ^{3}}{2}

\frac{d}{d x} (\frac{1}{4 x ^{2}}) = - \frac{1}{2 x ^{3}}

= \frac{x ^{3}}{2} - \frac{1}{2 x ^{3}}

Popular Examples

integral of (3x)/((x+1)(x-2))

\int \frac{3 x}{( x + 1 ) ( x - 2 )} d x

y^{''}+4y^'+4y=xe^{-2x}

y^{^{''}} + 4 y^{^{'}} + 4 y = x e^{- 2 x}

limit as n approaches infinity of 1/5

n \to \infty lim (\frac{1}{5})

y^{^{'}} = \frac{2 y + x}{x}

sum from n=0 to infinity of ln(2)

n = 0 \sum \infty ln (2)

Frequently Asked Questions (FAQ)

What is the derivative of (x^4/8+1/(4x^2)) ?
The derivative of (x^4/8+1/(4x^2)) is (x^3)/2-1/(2x^3)
What is the first derivative of (x^4/8+1/(4x^2)) ?
The first derivative of (x^4/8+1/(4x^2)) is (x^3)/2-1/(2x^3)