What is the derivative of (sqrt(1-x)/(sqrt(x))) ?

The derivative of (sqrt(1-x)/(sqrt(x))) is -1/(2x^{3/2)sqrt(-x+1)}

What is the first derivative of (sqrt(1-x)/(sqrt(x))) ?

The first derivative of (sqrt(1-x)/(sqrt(x))) is -1/(2x^{3/2)sqrt(-x+1)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{1 - x}{x})

- \frac{1}{2 x ^{\frac{3}{2}} - x + 1}

Solution steps

\frac{d}{d x} (\frac{1 - x}{x})

Simplify

\frac{1 - x}{x} : \frac{1 - x}{x}

= \frac{d}{d x} (\frac{1 - x}{x})

Apply the chain rule:

\frac{1}{2 \frac{1 - x}{x}} \frac{d}{d x} (\frac{1 - x}{x})

= \frac{1}{2 \frac{1 - x}{x}} \frac{d}{d x} (\frac{1 - x}{x})

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

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

Simplify

\frac{1}{2 \frac{1 - x}{x}} (- \frac{1}{x ^{2}}) : - \frac{1}{2 x ^{\frac{3}{2}} - x + 1}

= - \frac{1}{2 x ^{\frac{3}{2}} - x + 1}

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

\int_{1}^{3} ln (x - 1) d x

n = 1 \sum \infty cos (2 n)

y = x^{2} - 1, y = x + 2, x = 0, x + 1

x \to - 1 lim (5 - 3 x - x^{2})

What is the derivative of (sqrt(1-x)/(sqrt(x))) ?
The derivative of (sqrt(1-x)/(sqrt(x))) is -1/(2x^{3/2)sqrt(-x+1)}
What is the first derivative of (sqrt(1-x)/(sqrt(x))) ?
The first derivative of (sqrt(1-x)/(sqrt(x))) is -1/(2x^{3/2)sqrt(-x+1)}