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Popular >

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

Solution

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

Solution

- \frac{6}{x ^{4}}

Solution steps

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

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

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

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

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

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

= - \frac{6}{x ^{4}}

Popular Examples

t((dy)/(dt))+22y= 1/t

t (\frac{d y}{d t}) + 22 y = \frac{1}{t}

(\partial)/(\partial y)(yln(y))

\frac{\partial}{\partial y} (y ln (y))

integral of sqrt(x^4+1)

\int x^{4} + 1 d x

tangent of-9x^4+x^3 tangent of

- 9 x^{4} + x^{3}

integral of 1/(x^3+1)

\int \frac{1}{x ^{3} + 1} d x

Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)(1/x) ?
The answer to (d^3)/(dx^3)(1/x) is -6/(x^4)