What is the derivative of 4x^3+1/(x^2) ?

The derivative of 4x^3+1/(x^2) is 12x^2-2/(x^3)

What is the first derivative of 4x^3+1/(x^2) ?

The first derivative of 4x^3+1/(x^2) is 12x^2-2/(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (4 x^{3} + \frac{1}{x ^{2}})

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

Solution steps

\frac{d}{d x} (4 x^{3} + \frac{1}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (\frac{1}{x ^{2}})

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

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

= 12 x^{2} - \frac{2}{x ^{3}}

What is the derivative of 4x^3+1/(x^2) ?
The derivative of 4x^3+1/(x^2) is 12x^2-2/(x^3)
What is the first derivative of 4x^3+1/(x^2) ?
The first derivative of 4x^3+1/(x^2) is 12x^2-2/(x^3)