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

The derivative of (2x+3(2x-3)) is 8x

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

The first derivative of (2x+3(2x-3)) is 8x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

8 x

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

2 (2 x - 3) + 2 (2 x + 3) : 8 x

= 8 x

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

x \to \infty lim (\frac{1}{x ^{\frac{4}{3}}})

(x^{2} + 1) d y + (4 x y - x^{2}) d x = 0

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

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

What is the derivative of (2x+3(2x-3)) ?
The derivative of (2x+3(2x-3)) is 8x
What is the first derivative of (2x+3(2x-3)) ?
The first derivative of (2x+3(2x-3)) is 8x