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Popular >

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

Solution

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

Solution

- \frac{6}{x ^{4}} + \frac{6}{x ^{3}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

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

= - \frac{6}{x ^{4}} - (- \frac{6}{x ^{3}})

Simplify

= - \frac{6}{x ^{4}} + \frac{6}{x ^{3}}

Popular Examples

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

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

(\partial)/(\partial y)(2y+1)

\frac{\partial}{\partial y} (2 y + 1)

derivative of (t+1)^3sqrt(t^2+84)derivative of

(t + 1)^{3} t^{2} + 84

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

x^{2} arctan (2 x)

taylor e^{x-1},1 taylor

e^{x - 1}, 1

Frequently Asked Questions (FAQ)

What is the derivative of 2/(x^3-3/(x^2)) ?
The derivative of 2/(x^3-3/(x^2)) is -6/(x^4)+6/(x^3)
What is the first derivative of 2/(x^3-3/(x^2)) ?
The first derivative of 2/(x^3-3/(x^2)) is -6/(x^4)+6/(x^3)