What is the derivative of u/x ?

The derivative of u/x is (x\frac{du)/(dx)-u}{x^2}

What is the first derivative of u/x ?

The first derivative of u/x is (x\frac{du)/(dx)-u}{x^2}

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{u}{x})

\frac{x \frac{d u}{d x} - u}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{u}{x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d u}{d x} x - \frac{d x}{d x} u}{x ^{2}}

\frac{d x}{d x} = 1

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

Simplify

= \frac{x \frac{d u}{d x} - u}{x ^{2}}

x \to \infty lim (x^{x})

\int \frac{2}{x x ^{2} - 4} d x

\int_{3}^{4} - lo g_{9} (x) d x

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

\frac{\partial}{\partial y} (x y e^{9 y})

What is the derivative of u/x ?
The derivative of u/x is (x\frac{du)/(dx)-u}{x^2}
What is the first derivative of u/x ?
The first derivative of u/x is (x\frac{du)/(dx)-u}{x^2}