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Popular >

derivative of 3/(x^3-1/(x^4))

Solution

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

Solution

- \frac{9}{x ^{4}} + \frac{4}{x ^{5}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{3}{x ^{3}}) = - \frac{9}{x ^{4}}

\frac{d}{d x} (\frac{1}{x ^{4}}) = - \frac{4}{x ^{5}}

= - \frac{9}{x ^{4}} - (- \frac{4}{x ^{5}})

Simplify

= - \frac{9}{x ^{4}} + \frac{4}{x ^{5}}

Popular Examples

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

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integral from 0 to 1 of 2x*sqrt(1+4x^2)

\int_{0}^{1} 2 x \cdot 1 + 4 x^{2} d x

integral of ((7-x))/((x^2-4x+4))

\int \frac{( 7 - x )}{( x ^{2} - 4 x + 4 )} d x

integral of 5xcos(4x)

\int 5 x cos (4 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of 3/(x^3-1/(x^4)) ?
The derivative of 3/(x^3-1/(x^4)) is -9/(x^4)+4/(x^5)
What is the first derivative of 3/(x^3-1/(x^4)) ?
The first derivative of 3/(x^3-1/(x^4)) is -9/(x^4)+4/(x^5)