What is (\partial)/(\partial x)(2ln(x)+ln(y)) ?

The answer to (\partial)/(\partial x)(2ln(x)+ln(y)) is 2/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(2ln(x)+ln(y))

\frac{\partial}{\partial x} (2 ln (x) + ln (y))

\frac{2}{x}

Solution steps

\frac{\partial}{\partial x} (2 ln (x) + ln (y))

Simplify

2 ln (x) + ln (y) : ln (x^{2} y)

= \frac{\partial}{\partial x} (ln (x^{2} y))

Treat

y

as a constant

Apply the chain rule:

\frac{1}{x ^{2} y} \frac{\partial}{\partial x} (x^{2} y)

= \frac{1}{x ^{2} y} \frac{\partial}{\partial x} (x^{2} y)

\frac{\partial}{\partial x} (x^{2} y) = 2 y x

= \frac{1}{x ^{2} y} \cdot 2 y x

Simplify

\frac{1}{x ^{2} y} \cdot 2 y x : \frac{2}{x}

= \frac{2}{x}

f (x) = x - 3, (12, 3)

\int_{1}^{4} 1

x \to 21 lim (x)

\int_{- 1}^{2} \frac{x ^{2}}{8} d x

\frac{e t ^{4}}{24}

What is (\partial)/(\partial x)(2ln(x)+ln(y)) ?
The answer to (\partial)/(\partial x)(2ln(x)+ln(y)) is 2/x