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Popular >

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

Solution

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

Solution

\frac{5 x ^{4}}{6} - \frac{3}{10 x ^{4}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{x ^{5}}{6}) = \frac{5 x ^{4}}{6}

\frac{d}{d x} (\frac{1}{10 x ^{3}}) = - \frac{3}{10 x ^{4}}

= \frac{5 x ^{4}}{6} - \frac{3}{10 x ^{4}}

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

y^{''}+4y^'=2x-3e^x

y^{^{''}} + 4 y^{^{'}} = 2 x - 3 e^{x}

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\int 5 cos^{3} (x) d x

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Frequently Asked Questions (FAQ)

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