What is the derivative of x^3-1/(x^2) ?

The derivative of x^3-1/(x^2) is 3x^2+2/(x^3)

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

The first derivative of x^3-1/(x^2) is 3x^2+2/(x^3)

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Popular >

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

x \to - \infty lim (x e^{x} - 1)

\frac{x ^{3}}{5 - x ^{2}}

\frac{d}{d x} (\frac{1}{3} x^{3} + 7 x^{2} + 50 x)

\int \frac{y ^{4}}{y ^{2} - 9} d y

\int (1 + sin (x)) d x

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