What is the d/(d{y)}(({x}ln(({x)/y)/({z)})}{{z}}) ?

The d/(d{y)}(({x}ln(({x)/y)/({z)})}{{z}}) is ({x}}{{y)/z}

What is the first d/(d{y)}(({x}ln(({x)/y)/({z)})}{{z}}) ?

The first d/(d{y)}(({x}ln(({x)/y)/({z)})}{{z}}) is ({x}}{{y)/z}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d y} (\frac{x ln ( \frac{x y}{z} )}{z})

\frac{x}{y z}

Solution steps

\frac{d}{d y} (\frac{x ln ( \frac{x y}{z} )}{z})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{x}{z} \frac{d}{d y} (ln (\frac{x y}{z}))

Apply the chain rule:

\frac{1}{\frac{x y}{z}} \frac{d}{d y} (\frac{x y}{z})

= \frac{1}{\frac{x y}{z}} \frac{d}{d y} (\frac{x y}{z})

\frac{d}{d y} (\frac{x y}{z}) = \frac{x}{z}

= \frac{x}{z} \cdot \frac{1}{\frac{x y}{z}} \cdot \frac{x}{z}

Simplify

\frac{x}{z} \cdot \frac{1}{\frac{x y}{z}} \cdot \frac{x}{z} : \frac{x}{y z}

= \frac{x}{y z}

4 (\frac{d y}{d x}) - (y) + 0.01 x = 0

12 x - 2 x

\int - \frac{1}{k} cos (k x) d x

y = x^{2} - 35, y = 13 - 2 x

\frac{\partial}{\partial y} (6 y e^{2 x y} + x)

What is the d/(d{y)}(({x}ln(({x)/y)/({z)})}{{z}}) ?
The d/(d{y)}(({x}ln(({x)/y)/({z)})}{{z}}) is ({x}}{{y)/z}
What is the first d/(d{y)}(({x}ln(({x)/y)/({z)})}{{z}}) ?
The first d/(d{y)}(({x}ln(({x)/y)/({z)})}{{z}}) is ({x}}{{y)/z}