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Popular >

derivative of (x^5/(10)+1/(6x^3))

Solution

\frac{d}{d x} (\frac{x ^{5}}{10} + \frac{1}{6 x ^{3}})

Solution

\frac{x ^{4}}{2} - \frac{1}{2 x ^{4}}

Solution steps

\frac{d}{d x} (\frac{x ^{5}}{10} + \frac{1}{6 x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{5}}{10}) + \frac{d}{d x} (\frac{1}{6 x ^{3}})

\frac{d}{d x} (\frac{x ^{5}}{10}) = \frac{x ^{4}}{2}

\frac{d}{d x} (\frac{1}{6 x ^{3}}) = - \frac{1}{2 x ^{4}}

= \frac{x ^{4}}{2} - \frac{1}{2 x ^{4}}

Popular Examples

integral from 0 to (3pi)/2 of cos^3(9x)

\int_{0}^{\frac{3 π}{2}} cos^{3} (9 x) d x

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\int \frac{2}{3 x + 4} d x

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\int \frac{35}{1 - cos ( 5 x )} d x

xsin(x)e^{-y}dx-ydy=0

x sin (x) e^{- y} d x - y d y = 0

derivative of x^5+x+1

\frac{d}{d x} (x^{5} + x + 1)

Frequently Asked Questions (FAQ)

What is the derivative of (x^5/(10)+1/(6x^3)) ?
The derivative of (x^5/(10)+1/(6x^3)) is (x^4)/2-1/(2x^4)
What is the first derivative of (x^5/(10)+1/(6x^3)) ?
The first derivative of (x^5/(10)+1/(6x^3)) is (x^4)/2-1/(2x^4)