What is (\partial)/(\partial x)(sqrt(4+x^2)) ?

The answer to (\partial)/(\partial x)(sqrt(4+x^2)) is x/(sqrt(4+x^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(sqrt(4+x^2))

\frac{\partial}{\partial x} (4 + x^{2})

\frac{x}{4 + x ^{2}}

Solution steps

\frac{\partial}{\partial x} (4 + x^{2})

Apply the chain rule:

\frac{1}{2 4 + x ^{2}} \frac{\partial}{\partial x} (4 + x^{2})

= \frac{1}{2 4 + x ^{2}} \frac{\partial}{\partial x} (4 + x^{2})

\frac{\partial}{\partial x} (4 + x^{2}) = 2 x

= \frac{1}{2 4 + x ^{2}} \cdot 2 x

Simplify

\frac{1}{2 4 + x ^{2}} \cdot 2 x : \frac{x}{4 + x ^{2}}

= \frac{x}{4 + x ^{2}}

\frac{d}{d x} (e^{- x} - e^{x} x)

\frac{d}{d x} (x^{4} + 4 e^{x})

0 \to 1 lim (e^{0})

\frac{d y}{d x} = 0.5 - x + 2 y

\int_{0}^{x} e^{- x^{2}} d x

What is (\partial)/(\partial x)(sqrt(4+x^2)) ?
The answer to (\partial)/(\partial x)(sqrt(4+x^2)) is x/(sqrt(4+x^2))