What is the derivative of (x-1^2(x-2)(x-4)) ?

The derivative of (x-1^2(x-2)(x-4)) is 4x^3-24x^2+42x-22

What is the first derivative of (x-1^2(x-2)(x-4)) ?

The first derivative of (x-1^2(x-2)(x-4)) is 4x^3-24x^2+42x-22

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((x - 1)^{2} (x - 2) (x - 4))

4 x^{3} - 24 x^{2} + 42 x - 22

Solution steps

\frac{d}{d x} ((x - 1)^{2} (x - 2) (x - 4))

Apply the Product Rule:

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

f = (x - 1)^{2}, g = (x - 2) (x - 4)

= \frac{d}{d x} ((x - 1)^{2}) (x - 2) (x - 4) + \frac{d}{d x} ((x - 2) (x - 4)) (x - 1)^{2}

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

\frac{d}{d x} ((x - 2) (x - 4)) = 2 x - 6

= 2 (x - 1) (x - 2) (x - 4) + (2 x - 6) (x - 1)^{2}

Simplify

2 (x - 1) (x - 2) (x - 4) + (2 x - 6) (x - 1)^{2} : 4 x^{3} - 24 x^{2} + 42 x - 22

= 4 x^{3} - 24 x^{2} + 42 x - 22

y = \frac{2 x}{( x ^{2} + 1 )}

\int \frac{8}{( 4 x ^{2} + 1 ) ^{2}} d x

\int \frac{6 - 72 x}{1 - 36 x ^{2}} d x

\frac{d}{d x} (\frac{x}{x + 2})

\frac{d}{d x} (\frac{x + 4}{x - 5})

What is the derivative of (x-1^2(x-2)(x-4)) ?
The derivative of (x-1^2(x-2)(x-4)) is 4x^3-24x^2+42x-22
What is the first derivative of (x-1^2(x-2)(x-4)) ?
The first derivative of (x-1^2(x-2)(x-4)) is 4x^3-24x^2+42x-22