en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x(x-1(x-2))

Solution

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

Solution

3 x^{2} - 6 x + 2

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = (x - 1) (x - 2)

= \frac{d x}{d x} (x - 1) (x - 2) + \frac{d}{d x} ((x - 1) (x - 2)) x

\frac{d x}{d x} = 1

\frac{d}{d x} ((x - 1) (x - 2)) = 2 x - 3

= 1 \cdot (x - 1) (x - 2) + (2 x - 3) x

Simplify

1 \cdot (x - 1) (x - 2) + (2 x - 3) x : 3 x^{2} - 6 x + 2

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

Popular Examples

derivative of y=\sqrt[7]{x}derivative of

area-4x^2+9,x+7 area

- 4 x^{2} + 9, x + 7

y^'+5y=te^{(4t)}

y^{^{'}} + 5 y = t e^{(4 t)}

(\partial)/(\partial x)(3x^2-4)

\frac{\partial}{\partial x} (3 x^{2} - 4)

integral of 9/(9+e^x)

\int \frac{9}{9 + e ^{x}} d x

Frequently Asked Questions (FAQ)

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