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Popular >

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

Solution

derivative of

f (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

derivative of ((5x^5-3x^2+1))/x derivative of

\frac{( 5 x ^{5} - 3 x ^{2} + 1 )}{x}

integral of 1/(12(x^2+1))

\int \frac{1}{12 ( x ^{2} + 1 )} d x

limit as x approaches 3+of x/(x-3)

x \to 3 + lim (\frac{x}{x - 3})

(1+x)y^'-xy=x+x^2

(1 + x) y^{^{'}} - x y = x + x^{2}

(\partial)/(\partial y)(x^2e^{y^2})

\frac{\partial}{\partial y} (x^{2} e^{y^{2}})

Frequently Asked Questions (FAQ)

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