en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 4x^3-168x^2+1728x

Solution

\frac{d}{d x} (4 x^{3} - 168 x^{2} + 1728 x)

Solution

12 x^{2} - 336 x + 1728

Solution steps

\frac{d}{d x} (4 x^{3} - 168 x^{2} + 1728 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (168 x^{2}) + \frac{d}{d x} (1728 x)

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

\frac{d}{d x} (168 x^{2}) = 336 x

\frac{d}{d x} (1728 x) = 1728

= 12 x^{2} - 336 x + 1728

Graph

Popular Examples

limit as x approaches-2+of (x-1)/(3x+6)

x \to - 2 + lim (\frac{x - 1}{3 x + 6})

integral of cot^2(x)

\int cot^{2} (x) d x

derivative of ln(\sqrt[7]{x})

\frac{d}{d x} (ln (7 x))

derivative of 2|x-3|-3|x-2|

\frac{d}{d x} (2 ∣ x - 3 ∣ - 3 ∣ x - 2 ∣)

integral of ((2x-1))/((x-1)(x-2))

\int \frac{( 2 x - 1 )}{( x - 1 ) ( x - 2 )} d x

Frequently Asked Questions (FAQ)

What is the derivative of 4x^3-168x^2+1728x ?
The derivative of 4x^3-168x^2+1728x is 12x^2-336x+1728
What is the first derivative of 4x^3-168x^2+1728x ?
The first derivative of 4x^3-168x^2+1728x is 12x^2-336x+1728