What is the derivative of sqrt(3/(x-1)) ?

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

What is the first derivative of sqrt(3/(x-1)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{3}{x - 1}

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

Solution steps

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

Apply the chain rule:

\frac{1}{2 \frac{3}{x - 1}} \frac{d}{d x} (\frac{3}{x - 1})

= \frac{1}{2 \frac{3}{x - 1}} \frac{d}{d x} (\frac{3}{x - 1})

\frac{d}{d x} (\frac{3}{x - 1}) = - \frac{3}{( x - 1 ) ^{2}}

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

Simplify

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

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

y^{^{'}} - 2 y = - 3 y^{2}

\int arctan (t^{2}) d t

y = \frac{5}{x}

y^{^{'}} + sin (x) y = - sin (x)

\int x \cdot sin (x) d x

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