What is the derivative of x+sqrt(x^2+1) ?

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

What is the first derivative of x+sqrt(x^2+1) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x + x^{2} + 1

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

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

\frac{d}{d x} (3 x^{2} + 6 x - 9)

f (x) = (x + 2 x)

x (2 x + 3)^{5}

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

\frac{d}{d x} (x^{- 3} + \frac{1}{x ^{7}})

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