What is the derivative of (x-5)(5x+3) ?

The derivative of (x-5)(5x+3) is 10x-22

What is the first derivative of (x-5)(5x+3) ?

The first derivative of (x-5)(5x+3) is 10x-22

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(x - 5) (5 x + 3)

10 x - 22

Solution steps

\frac{d}{d x} ((x - 5) (5 x + 3))

Apply the Product Rule:

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

f = x - 5, g = 5 x + 3

= \frac{d}{d x} (x - 5) (5 x + 3) + \frac{d}{d x} (5 x + 3) (x - 5)

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

\frac{d}{d x} (5 x + 3) = 5

= 1 \cdot (5 x + 3) + 5 (x - 5)

Simplify

1 \cdot (5 x + 3) + 5 (x - 5) : 10 x - 22

= 10 x - 22

x^{- 4}

\int_{2}^{4} \frac{6}{2 x - 9} d x

x \to 8 lim (x + 2)

f (x) = ln (x^{3} - 7), at x = 2

\int \frac{1}{x x + x ^{2}} d x

What is the derivative of (x-5)(5x+3) ?
The derivative of (x-5)(5x+3) is 10x-22
What is the first derivative of (x-5)(5x+3) ?
The first derivative of (x-5)(5x+3) is 10x-22