What is the derivative of (x-5(x+4)) ?

The derivative of (x-5(x+4)) is 2x-1

What is the first derivative of (x-5(x+4)) ?

The first derivative of (x-5(x+4)) is 2x-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

2 x - 1

Solution steps

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

Apply the Product Rule:

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

f = x - 5, g = x + 4

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

\frac{d}{d x} (x - 5) = 1

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

= 1 \cdot (x + 4) + 1 \cdot (x - 5)

Simplify

1 \cdot (x + 4) + 1 \cdot (x - 5) : 2 x - 1

= 2 x - 1

What is the derivative of (x-5(x+4)) ?
The derivative of (x-5(x+4)) is 2x-1
What is the first derivative of (x-5(x+4)) ?
The first derivative of (x-5(x+4)) is 2x-1