What is (\partial)/(\partial x)(ln(x-8y)) ?

The answer to (\partial)/(\partial x)(ln(x-8y)) is 1/(x-8y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(ln(x-8y))

\frac{\partial}{\partial x} (ln (x - 8 y))

\frac{1}{x - 8 y}

Solution steps

\frac{\partial}{\partial x} (ln (x - 8 y))

Treat

y

as a constant

Apply the chain rule:

\frac{1}{x - 8 y} \frac{\partial}{\partial x} (x - 8 y)

= \frac{1}{x - 8 y} \frac{\partial}{\partial x} (x - 8 y)

\frac{\partial}{\partial x} (x - 8 y) = 1

= \frac{1}{x - 8 y} \cdot 1

Simplify

= \frac{1}{x - 8 y}

\int \frac{1}{8 x + 1} - \frac{1}{e ^{x} ( 8 + e ^{- x} ) ^{2}} d x

\int \frac{( x - 1 ) ^{2}}{x ^{2} + 3 x + 4} d x

\int \frac{4 t ^{3} - t ^{2} + 36 t}{t ^{2} + 9} d t

\frac{\partial}{\partial x} (z - x y)

\frac{\partial}{\partial x} (sin (5 x + 6 y + z))

What is (\partial)/(\partial x)(ln(x-8y)) ?
The answer to (\partial)/(\partial x)(ln(x-8y)) is 1/(x-8y)