What is the derivative of x^2-2/(x^3) ?

The derivative of x^2-2/(x^3) is 2x+6/(x^4)

What is the first derivative of x^2-2/(x^3) ?

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

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derivative of

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

2 x + \frac{6}{x ^{4}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= 2 x + \frac{6}{x ^{4}}

\frac{x ^{3}}{3} - 11 x, 5 x

\frac{d}{d x} ((2 x + 4)^{2})

\int \frac{3 x ^{2} - 2 x - 9}{x ^{3} - x ^{2} - 9 x + 9} d x

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

(- 8.8) (- 4.3)

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