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Popular >

derivative of 9/(x^2)-3/x

Solution

derivative of

\frac{9}{x ^{2}} - \frac{3}{x}

Solution

- \frac{18}{x ^{3}} + \frac{3}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{9}{x ^{2}} - \frac{3}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{9}{x ^{2}}) - \frac{d}{d x} (\frac{3}{x})

\frac{d}{d x} (\frac{9}{x ^{2}}) = - \frac{18}{x ^{3}}

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

= - \frac{18}{x ^{3}} - (- \frac{3}{x ^{2}})

Simplify

= - \frac{18}{x ^{3}} + \frac{3}{x ^{2}}

Popular Examples

derivative of-x^3+3x+2

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

integral from-infinity to 6 of 1/(x^2+1)

\int_{- \infty}^{6} \frac{1}{x ^{2} + 1} d x

derivative of 2e^{-x^3}

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

integral of-1/(v^2)

\int - \frac{1}{v ^{2}} d v

integral from 1/2 to 1 of (x^{-3}-8)

\int_{\frac{1}{2}}^{1} (x^{- 3} - 8) d x

Frequently Asked Questions (FAQ)

What is the derivative of 9/(x^2)-3/x ?
The derivative of 9/(x^2)-3/x is -(18)/(x^3)+3/(x^2)
What is the first derivative of 9/(x^2)-3/x ?
The first derivative of 9/(x^2)-3/x is -(18)/(x^3)+3/(x^2)