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Popular >

derivative of 2/(x^2)+3/(x^3)

Solution

derivative of

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

Solution

- \frac{4}{x ^{3}} - \frac{9}{x ^{4}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{2}{x ^{2}}) = - \frac{4}{x ^{3}}

\frac{d}{d x} (\frac{3}{x ^{3}}) = - \frac{9}{x ^{4}}

= - \frac{4}{x ^{3}} - \frac{9}{x ^{4}}

Popular Examples

limit as x approaches 2-of (x^2)/((x-2))

x \to 2 - lim (\frac{x ^{2}}{( x - 2 )})

integral of (sqrt(8x-2x))

\int (8 x - 2 x) d x

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

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

(\partial)/(\partial x)(8x^2-16y^3)

\frac{\partial}{\partial x} (8 x^{2} - 16 y^{3})

limit as x approaches 0 of 1+sin(x^2)

x \to 0 lim (1 + sin (x^{2}))

Frequently Asked Questions (FAQ)

What is the derivative of 2/(x^2)+3/(x^3) ?
The derivative of 2/(x^2)+3/(x^3) is -4/(x^3)-9/(x^4)
What is the first derivative of 2/(x^2)+3/(x^3) ?
The first derivative of 2/(x^2)+3/(x^3) is -4/(x^3)-9/(x^4)