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Popular >

derivative of 1/x+1/(x^2)

Solution

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

Solution

- \frac{1}{x ^{2}} - \frac{2}{x ^{3}}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= - \frac{1}{x ^{2}} - \frac{2}{x ^{3}}

Popular Examples

(\partial)/(\partial t)(sech^2(x-t))

\frac{\partial}{\partial t} (sech^{2} (x - t))

integral of 6x^4e^{x^5}

\int 6 x^{4} e^{x^{5}} d x

derivative of (2x^2-2xle{f}(x,t)t(x^2-3))

\frac{d}{d x} ((2 x^{2} - 2 x) l e f (x, t) t (x^{2} - 3))

derivative of f(x)=(2+5x)^2 derivative of

f (x) = (2 + 5 x)^{2}

limit as x approaches 0+of 1/x-1/(x^2+x)

x \to 0 + lim (\frac{1}{x} - \frac{1}{x ^{2} + x})

Frequently Asked Questions (FAQ)

What is the derivative of 1/x+1/(x^2) ?
The derivative of 1/x+1/(x^2) is -1/(x^2)-2/(x^3)
What is the first derivative of 1/x+1/(x^2) ?
The first derivative of 1/x+1/(x^2) is -1/(x^2)-2/(x^3)