What is the derivative of x^3+3x^2 ?

The derivative of x^3+3x^2 is 3x^2+6x

What is the first derivative of x^3+3x^2 ?

The first derivative of x^3+3x^2 is 3x^2+6x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

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

3 x^{2} + 6 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 3 x^{2} + 6 x

What is the derivative of x^3+3x^2 ?
The derivative of x^3+3x^2 is 3x^2+6x
What is the first derivative of x^3+3x^2 ?
The first derivative of x^3+3x^2 is 3x^2+6x