What is the derivative of sqrt(24+x^2) ?

The derivative of sqrt(24+x^2) is x/(sqrt(24+x^2))

What is the first derivative of sqrt(24+x^2) ?

The first derivative of sqrt(24+x^2) is x/(sqrt(24+x^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (24 + x^{2})

\frac{x}{24 + x ^{2}}

Solution steps

\frac{d}{d x} (24 + x^{2})

Apply the chain rule:

\frac{1}{2 24 + x ^{2}} \frac{d}{d x} (24 + x^{2})

= \frac{1}{2 24 + x ^{2}} \frac{d}{d x} (24 + x^{2})

\frac{d}{d x} (24 + x^{2}) = 2 x

= \frac{1}{2 24 + x ^{2}} \cdot 2 x

Simplify

\frac{1}{2 24 + x ^{2}} \cdot 2 x : \frac{x}{24 + x ^{2}}

= \frac{x}{24 + x ^{2}}

What is the derivative of sqrt(24+x^2) ?
The derivative of sqrt(24+x^2) is x/(sqrt(24+x^2))
What is the first derivative of sqrt(24+x^2) ?
The first derivative of sqrt(24+x^2) is x/(sqrt(24+x^2))