What is the derivative of x^3-6x^2+11x-6 ?

The derivative of x^3-6x^2+11x-6 is 3x^2-12x+11

What is the first derivative of x^3-6x^2+11x-6 ?

The first derivative of x^3-6x^2+11x-6 is 3x^2-12x+11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (x^{3} - 6 x^{2} + 11 x - 6)

3 x^{2} - 12 x + 11

Solution steps

\frac{d}{d x} (x^{3} - 6 x^{2} + 11 x - 6)

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} (11 x) - \frac{d}{d x} (6)

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

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

\frac{d}{d x} (11 x) = 11

\frac{d}{d x} (6) = 0

= 3 x^{2} - 12 x + 11 - 0

Simplify

= 3 x^{2} - 12 x + 11

What is the derivative of x^3-6x^2+11x-6 ?
The derivative of x^3-6x^2+11x-6 is 3x^2-12x+11
What is the first derivative of x^3-6x^2+11x-6 ?
The first derivative of x^3-6x^2+11x-6 is 3x^2-12x+11