What is (\partial)/(\partial x)(sqrt(x^2-1)) ?

The answer to (\partial)/(\partial x)(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 >

(\partial)/(\partial x)(sqrt(x^2-1))

\frac{\partial}{\partial x} (x^{2} - 1)

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

Solution steps

\frac{\partial}{\partial x} (x^{2} - 1)

Apply the chain rule:

\frac{1}{2 x ^{2} - 1} \frac{\partial}{\partial x} (x^{2} - 1)

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

\frac{\partial}{\partial 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}

\frac{d}{d x} ((x - 3 x^{4}) tan (x))

3 ln (5 x)

\frac{d y}{d x} = x \cdot 1 - y^{2}

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

\int n^{- 3}

What is (\partial)/(\partial x)(sqrt(x^2-1)) ?
The answer to (\partial)/(\partial x)(sqrt(x^2-1)) is x/(sqrt(x^2-1))