What is the derivative of x(29-2x)(16-2x) ?

The derivative of x(29-2x)(16-2x) is 12x^2-180x+464

What is the first derivative of x(29-2x)(16-2x) ?

The first derivative of x(29-2x)(16-2x) is 12x^2-180x+464

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

x (29 - 2 x) (16 - 2 x)

12 x^{2} - 180 x + 464

Solution steps

\frac{d}{d x} (x (29 - 2 x) (16 - 2 x))

Apply the Product Rule:

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

f = x, g = (29 - 2 x) (16 - 2 x)

= \frac{d x}{d x} (29 - 2 x) (16 - 2 x) + \frac{d}{d x} ((29 - 2 x) (16 - 2 x)) x

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

\frac{d}{d x} ((29 - 2 x) (16 - 2 x)) = 8 x - 90

= 1 \cdot (29 - 2 x) (16 - 2 x) + (8 x - 90) x

Simplify

1 \cdot (29 - 2 x) (16 - 2 x) + (8 x - 90) x : 12 x^{2} - 180 x + 464

= 12 x^{2} - 180 x + 464

What is the derivative of x(29-2x)(16-2x) ?
The derivative of x(29-2x)(16-2x) is 12x^2-180x+464
What is the first derivative of x(29-2x)(16-2x) ?
The first derivative of x(29-2x)(16-2x) is 12x^2-180x+464