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

The derivative of x^3+6x^2+6x is 3x^2+12x+6

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

The first derivative of x^3+6x^2+6x is 3x^2+12x+6

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} + 6 x^{2} + 6 x)

3 x^{2} + 12 x + 6

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (6 x) = 6

= 3 x^{2} + 12 x + 6

f (x) = 2 - 5 x^{2}

\frac{3 s}{( s + 2 ) ( s - 4 )}

x = 5 y^{2}, x = 2 + 3 y^{2}

\frac{d ^{2}}{d x ^{2}} (\frac{2 t - 1}{t ^{4}})

\int_{- 1}^{1} (1 - x^{2})^{2} d x

What is the derivative of x^3+6x^2+6x ?
The derivative of x^3+6x^2+6x is 3x^2+12x+6
What is the first derivative of x^3+6x^2+6x ?
The first derivative of x^3+6x^2+6x is 3x^2+12x+6