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Popular >

derivative of 1/(x^2)-7/(x^4)

Solution

derivative of

\frac{1}{x ^{2}} - \frac{7}{x ^{4}}

Solution

- \frac{2}{x ^{3}} + \frac{28}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{2}} - \frac{7}{x ^{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{x ^{2}}) - \frac{d}{d x} (\frac{7}{x ^{4}})

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

\frac{d}{d x} (\frac{7}{x ^{4}}) = - \frac{28}{x ^{5}}

= - \frac{2}{x ^{3}} - (- \frac{28}{x ^{5}})

Simplify

= - \frac{2}{x ^{3}} + \frac{28}{x ^{5}}

Popular Examples

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\int (2 x - 3) e^{x^{2} - 3 x} d x

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\frac{d}{d x} (5 ln (2 + x))

limit as x approaches 1 of (x^3-1)/(x+1)

x \to 1 lim (\frac{x ^{3} - 1}{x + 1})

integral of (6x^2)

\int (6 x^{2}) d x

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

Frequently Asked Questions (FAQ)

What is the derivative of 1/(x^2)-7/(x^4) ?
The derivative of 1/(x^2)-7/(x^4) is -2/(x^3)+(28)/(x^5)
What is the first derivative of 1/(x^2)-7/(x^4) ?
The first derivative of 1/(x^2)-7/(x^4) is -2/(x^3)+(28)/(x^5)