What is the derivative of y=(x-2)(2x+3) ?

The derivative of y=(x-2)(2x+3) is 4x-1

What is the first derivative of y=(x-2)(2x+3) ?

The first derivative of y=(x-2)(2x+3) is 4x-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = (x - 2) (2 x + 3)

4 x - 1

Solution steps

\frac{d}{d x} ((x - 2) (2 x + 3))

Apply the Product Rule:

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

f = x - 2, g = 2 x + 3

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

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

\frac{d}{d x} (2 x + 3) = 2

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

Simplify

1 \cdot (2 x + 3) + 2 (x - 2) : 4 x - 1

= 4 x - 1

\frac{d}{d x} (12 - x)

x \to \infty lim (\frac{x ^{3}}{1 e ^{\frac{x}{2}}})

\int 2 x^{3} x^{4} + 2 d x

3 \cdot 2

- 4 x^{2} + 9, x + 7, x = 0

What is the derivative of y=(x-2)(2x+3) ?
The derivative of y=(x-2)(2x+3) is 4x-1
What is the first derivative of y=(x-2)(2x+3) ?
The first derivative of y=(x-2)(2x+3) is 4x-1