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Popular Calculus >

derivative of x^2-8/(x^3)

Solution

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

Solution

2 x + \frac{24}{x ^{4}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{8}{x ^{3}}) = - \frac{24}{x ^{4}}

= 2 x - (- \frac{24}{x ^{4}})

Simplify

= 2 x + \frac{24}{x ^{4}}

Graph

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

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\frac{d}{d x} (\frac{x}{n})

(\partial)/(\partial x)(-y/(4x^2+9y^2))

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y^'=x^2y-x^2y^2,y(0)=17

y^{^{'}} = x^{2} y - x^{2} y^{2}, y (0) = 17

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Frequently Asked Questions (FAQ)

What is the derivative of x^2-8/(x^3) ?
The derivative of x^2-8/(x^3) is 2x+(24)/(x^4)
What is the first derivative of x^2-8/(x^3) ?
The first derivative of x^2-8/(x^3) is 2x+(24)/(x^4)