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Popular >

derivative of f(x)= 3/(x^2)-1/x

Solution

derivative of

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

Solution

- \frac{6}{x ^{3}} + \frac{1}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - \frac{6}{x ^{3}} - (- \frac{1}{x ^{2}})

Simplify

= - \frac{6}{x ^{3}} + \frac{1}{x ^{2}}

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x^2y^{''}-2xy^'+2y=4x^2

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = 4 x^{2}

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\frac{2 s + 3}{s ^{2} + 2 s + 5}

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)= 3/(x^2)-1/x ?
The derivative of f(x)= 3/(x^2)-1/x is -6/(x^3)+1/(x^2)
What is the first derivative of f(x)= 3/(x^2)-1/x ?
The first derivative of f(x)= 3/(x^2)-1/x is -6/(x^3)+1/(x^2)