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

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

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

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

y = x^{2} + 1

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

(3, - 4)

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

y = \frac{5 x}{x - 3}, (4, 20)

y = \frac{x + 1}{x - 1}

f = e

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