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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x^{6} + x^{3} + 2

\frac{5 x}{2}

\frac{x - 1}{x}

1 - 2 x y

\frac{d}{d t} (20 + 5 t)

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