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

The derivative of (2+3x(3-2x)) is -12x+5

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

The first derivative of (2+3x(3-2x)) is -12x+5

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 + 3 x) (3 - 2 x))

- 12 x + 5

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

3 (3 - 2 x) + (- 2) (2 + 3 x) : - 12 x + 5

= - 12 x + 5

f (x) = e^{- 4 x}

\frac{d}{d x} (\frac{14 x + 8 x ^{2}}{( 7 + 8 x ) ^{2}})

x \to - 2 lim (\frac{x}{x ^{2} + 4})

\int e^{x^{2}} \frac{x}{3} d x

n = 0 \sum \infty 2 \cdot 5^{n}

What is the derivative of (2+3x(3-2x)) ?
The derivative of (2+3x(3-2x)) is -12x+5
What is the first derivative of (2+3x(3-2x)) ?
The first derivative of (2+3x(3-2x)) is -12x+5