en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=6x^3-84x^2+11000x

Solution

derivative of

f (x) = 6 x^{3} - 84 x^{2} + 11000 x

Solution

18 x^{2} - 168 x + 11000

Solution steps

\frac{d}{d x} (6 x^{3} - 84 x^{2} + 11000 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{3}) - \frac{d}{d x} (84 x^{2}) + \frac{d}{d x} (11000 x)

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

\frac{d}{d x} (84 x^{2}) = 168 x

\frac{d}{d x} (11000 x) = 11000

= 18 x^{2} - 168 x + 11000

Graph

Popular Examples

derivative of h(x)=(5-6x)^5 derivative of

h (x) = (5 - 6 x)^{5}

5x(dy)/(dx)=2xe^x-5y+6x^2

5 x \frac{d y}{d x} = 2 x e^{x} - 5 y + 6 x^{2}

(\partial)/(\partial x)(5x^2y-x+3y^3)

\frac{\partial}{\partial x} (5 x^{2} y - x + 3 y^{3})

integral of csc(5t)cot(5t)

\int csc (5 t) cot (5 t) d t

integral of (5x)/(x^2+8)

\int \frac{5 x}{x ^{2} + 8} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=6x^3-84x^2+11000x ?
The derivative of f(x)=6x^3-84x^2+11000x is 18x^2-168x+11000
What is the first derivative of f(x)=6x^3-84x^2+11000x ?
The first derivative of f(x)=6x^3-84x^2+11000x is 18x^2-168x+11000