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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{1}{x ^{3}}) = - \frac{3}{x ^{4}}

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

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

Simplify

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

Popular Examples

derivative of (x^4+7x^2-3)^4 derivative of

(x^{4} + 7 x^{2} - 3)^{4}

tangent of f(x)= 5/(x^2),\at x=1 tangent of

f (x) = \frac{5}{x ^{2}}, at x = 1

integral of (x-1)/(x^2+3x+2)

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

(dy)/(dx)=(3y)^{1/2}e^{x+10}

\frac{d y}{d x} = (3 y)^{\frac{1}{2}} e^{x + 10}

integral of 10xln(x+1)

\int 10 x ln (x + 1) d x

Frequently Asked Questions (FAQ)

What is the derivative of 1/(x^3-2/(x^2)) ?
The derivative of 1/(x^3-2/(x^2)) is -3/(x^4)+4/(x^3)
What is the first derivative of 1/(x^3-2/(x^2)) ?
The first derivative of 1/(x^3-2/(x^2)) is -3/(x^4)+4/(x^3)