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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d x}{d x} = 1

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

Popular Examples

integral of x 1/(x^2)

\int x \frac{1}{x ^{2}} d x

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\frac{d}{d x} (\frac{4 x}{x ^{2} - 2})

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

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\int (3 e^{x} + 2 sin (x)) d x

derivative of f(x)=3x^2+2x-4 derivative of

f (x) = 3 x^{2} + 2 x - 4

Frequently Asked Questions (FAQ)

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