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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

2 x + 1

Solution steps

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

Apply the Product Rule:

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

f = x - 2, g = x + 3

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

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

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

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

Simplify

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

= 2 x + 1

\frac{d}{d x} ((4 x)^{l n (4 x)})

2 5^{\frac{1}{3}} x^{\frac{2}{3}}

f (x) = tan (x) + 5

\int_{0}^{10} 3 x^{2} - 42 x + 135 d x

\frac{d y}{d x}, y^{2} = x - y

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