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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x + 1 + x^{2}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int (5 x^{9} - 11 x^{21}) d x

\int \frac{1}{x ^{3} - 512} d x

(2 y - \frac{1}{x} + cos (3 x)) \frac{d y}{d x} + \frac{y}{x ^{2}} - 4 x^{3} - 3 y sin (3 x) = 0

\int \frac{( - x - 6 )}{27 ( x ^{2} + 3 x + 9 )} d x

\int 9 x + 4 d x

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