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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

3 x^{2} + \frac{1}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= 3 x^{2} + \frac{1}{x ^{2}}

x \to 0 lim (x cos (x^{2}))

\int x \cdot (x^{2} + 1)^{2} d x

\frac{\partial}{\partial x} (x - x^{2} y)

\frac{d}{d x} (\frac{sin ( 2 x )}{4})

\int_{0}^{π} cos^{4} (x) sin (x) d x

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