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Popular Calculus >

(d^4)/(dx^4)(x^{-2})

Solution

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

Solution

\frac{120}{x ^{6}}

Solution steps

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

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

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

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

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

\frac{d}{d x} (\frac{6}{x ^{4}}) = - \frac{24}{x ^{5}}

= \frac{d}{d x} (- \frac{24}{x ^{5}})

\frac{d}{d x} (- \frac{24}{x ^{5}}) = \frac{120}{x ^{6}}

= \frac{120}{x ^{6}}

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Frequently Asked Questions (FAQ)

What is (d^4)/(dx^4)(x^{-2}) ?
The answer to (d^4)/(dx^4)(x^{-2}) is (120)/(x^6)