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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

2 - \frac{1}{2 x + 3}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= 2 - \frac{1}{2 x + 3}

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