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Popular Calculus >

(d^2)/(dx^2)(1/(x^3))

Solution

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

Solution

\frac{12}{x ^{5}}

Solution steps

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

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

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

\frac{d}{d x} (- \frac{3}{x ^{4}}) = \frac{12}{x ^{5}}

= \frac{12}{x ^{5}}

Popular Examples

integral of 8/x

\int \frac{8}{x} d x

limit as x approaches 0 of 2x^x

x \to 0 lim (2 x^{x})

derivative of 1/(10x^{9/10)}

d er i v a t i v e \frac{1}{10 x ^{\frac{9}{10}}}

integral of ln(sqrt(x-1))

\int ln (x - 1) d x

limit as n approaches infinity of n/(6^n)

n \to \infty lim (\frac{n}{6 ^{n}})

Frequently Asked Questions (FAQ)

What is (d^2)/(dx^2)(1/(x^3)) ?
The answer to (d^2)/(dx^2)(1/(x^3)) is (12)/(x^5)