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Popular Calculus >

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

Solution

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

Solution

\frac{2}{x ^{3}}

Solution steps

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

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

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

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

= \frac{2}{x ^{3}}

Popular Examples

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d er i v a t i v e f (t) = e^{7 t \cdot s i n (2 t)}

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x^{2} - 1, - x + 2, x = 0, x = 1

y^{1/2}((dy)/(dx))+y^{3/2}=1

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

integral of tan^2(4x)sec^4(4x)

\int tan^{2} (4 x) sec^{4} (4 x) d x

Frequently Asked Questions (FAQ)

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