What is the derivative of sqrt(x+1)(sqrt(x+1)) ?

The derivative of sqrt(x+1)(sqrt(x+1)) is 1

What is the first derivative of sqrt(x+1)(sqrt(x+1)) ?

The first derivative of sqrt(x+1)(sqrt(x+1)) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

1

Solution steps

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

Apply the Product Rule:

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

f = x + 1, g = x + 1

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

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

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

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

Simplify

\frac{1}{2 x + 1} x + 1 + \frac{1}{2 x + 1} x + 1 : 1

= 1

What is the derivative of sqrt(x+1)(sqrt(x+1)) ?
The derivative of sqrt(x+1)(sqrt(x+1)) is 1
What is the first derivative of sqrt(x+1)(sqrt(x+1)) ?
The first derivative of sqrt(x+1)(sqrt(x+1)) is 1