What is (\partial)/(\partial x)(yzln(xy)) ?

The answer to (\partial)/(\partial x)(yzln(xy)) is (yz)/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(yzln(xy))

\frac{\partial}{\partial x} (yz ln (x y))

\frac{yz}{x}

Solution steps

\frac{\partial}{\partial x} (yz ln (x y))

Treat

y, z

as constants

Take the constant out:

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

= yz \frac{\partial}{\partial x} (ln (x y))

Apply the chain rule:

\frac{1}{x y} \frac{\partial}{\partial x} (x y)

= \frac{1}{x y} \frac{\partial}{\partial x} (x y)

\frac{\partial}{\partial x} (x y) = y

= yz \frac{1}{x y} y

Simplify

yz \frac{1}{x y} y : \frac{yz}{x}

= \frac{yz}{x}

y (x + y + 1) d x + (x + 2 y) d y = 0

x^{^{''}} - 2 x - 5 = 0, x (0) = 1, x (1) = 3

\int \frac{39}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

5 x (1 - \frac{x}{5})^{2}

x \to 2 lim (2 x - 3)

What is (\partial)/(\partial x)(yzln(xy)) ?
The answer to (\partial)/(\partial x)(yzln(xy)) is (yz)/x