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Popular >

derivative of f(x)= 2/x-1/(x^2)

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

Popular Examples

integral of (\sqrt[3]{x}+1/(sqrt(x)))

tangent of f(x)= x/(1+x^2),(2,0.4)tangent of

f (x) = \frac{x}{1 + x ^{2}}, (2, 0.4)

integral from 0 to 2 of (x+2)-x^2

\int_{0}^{2} (x + 2) - x^{2} d x

derivative of (1-sin(x)^{-1/2})

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

derivative of ln(x/3 (x-3))

\frac{d}{d x} (ln (\frac{x}{3}) (x - 3))

Frequently Asked Questions (FAQ)

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