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Popular >

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

Solution

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

Solution

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

Solution steps

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

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

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

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

= 2 - \frac{6}{x ^{4}}

Popular Examples

integral from 0 to 4 of 2^x

\int_{0}^{4} 2^{x} d x

derivative of 2x^3+3

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

integral of sqrt(e^t)

\int e^{t} d t

y^{''}+2y^'+y=0,y(0)=0,y^'(0)=1

y^{^{''}} + 2 y^{^{'}} + y = 0, y (0) = 0, y^{^{'}} (0) = 1

x y^{^{'}} + y = x e^{x}

Frequently Asked Questions (FAQ)

What is (d^2)/(dx^2)(x^2-1/(x^2)) ?
The answer to (d^2)/(dx^2)(x^2-1/(x^2)) is 2-6/(x^4)