What is the derivative of f(x)=(3x-1)(x+2) ?

The derivative of f(x)=(3x-1)(x+2) is 6x+5

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

The first derivative of f(x)=(3x-1)(x+2) is 6x+5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = (3 x - 1) (x + 2)

6 x + 5

Solution steps

\frac{d}{d x} ((3 x - 1) (x + 2))

Apply the Product Rule:

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

f = 3 x - 1, g = x + 2

= \frac{d}{d x} (3 x - 1) (x + 2) + \frac{d}{d x} (x + 2) (3 x - 1)

\frac{d}{d x} (3 x - 1) = 3

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

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

Simplify

3 (x + 2) + 1 \cdot (3 x - 1) : 6 x + 5

= 6 x + 5

f (x) = 6 x^{3}

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

x \to 5 lim (- 12 x + 7)

y = \frac{3}{x + 1}, (2, 1)

\frac{x y d y}{d x} = 2 x^{2} + 2 y^{2}

What is the derivative of f(x)=(3x-1)(x+2) ?
The derivative of f(x)=(3x-1)(x+2) is 6x+5
What is the first derivative of f(x)=(3x-1)(x+2) ?
The first derivative of f(x)=(3x-1)(x+2) is 6x+5