en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^3-3x^2-9x+1

Solution

\frac{d}{d x} (x^{3} - 3 x^{2} - 9 x + 1)

Solution

3 x^{2} - 6 x - 9

Solution steps

\frac{d}{d x} (x^{3} - 3 x^{2} - 9 x + 1)

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} (9 x) + \frac{d}{d x} (1)

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

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

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (1) = 0

= 3 x^{2} - 6 x - 9 + 0

Simplify

= 3 x^{2} - 6 x - 9

Graph

Popular Examples

slope of (-3.2)(6.2)slope

(- 3.2) (6.2)

integral of (8x^2+7x+8)/((x^2+1)^2)

\int \frac{8 x ^{2} + 7 x + 8}{( x ^{2} + 1 ) ^{2}} d x

limit as x approaches 5 of f(x)

x \to 5 lim (f (x))

derivative of f(x)=log_{4}(x^2-3x)derivative of

f (x) = lo g_{4} (x^{2} - 3 x)

(dy)/(dx)=e^{5y+6x},y(0)=2

\frac{d y}{d x} = e^{5 y + 6 x}, y (0) = 2

Frequently Asked Questions (FAQ)

What is the derivative of x^3-3x^2-9x+1 ?
The derivative of x^3-3x^2-9x+1 is 3x^2-6x-9
What is the first derivative of x^3-3x^2-9x+1 ?
The first derivative of x^3-3x^2-9x+1 is 3x^2-6x-9