What is (\partial)/(\partial x)(ln((1-T)*w*x)) ?

The answer to (\partial)/(\partial x)(ln((1-T)*w*x)) is 1/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(ln((1-T)wx))

\frac{\partial}{\partial x} (ln ((1 - T) \cdot w \cdot x))

\frac{1}{x}

Solution steps

\frac{\partial}{\partial x} (ln ((1 - T) w x))

Treat

T, w

as constants

Apply the chain rule:

\frac{1}{( 1 - T ) w x} \frac{\partial}{\partial x} ((1 - T) w x)

= \frac{1}{( 1 - T ) w x} \frac{\partial}{\partial x} ((1 - T) w x)

\frac{\partial}{\partial x} ((1 - T) w x) = w (1 - T)

= \frac{1}{( 1 - T ) w x} w (1 - T)

Simplify

\frac{1}{( 1 - T ) w x} w (1 - T) : \frac{1}{x}

= \frac{1}{x}

\frac{d y}{d x} + 2 y = 4 x

9 π^{3}

arcsin (2 x)

f (x) = x^{4} - 2 x^{2}, at x = 1

x \to 0 + lim (\frac{1}{x} - cot (x))

What is (\partial)/(\partial x)(ln((1-T)*w*x)) ?
The answer to (\partial)/(\partial x)(ln((1-T)*w*x)) is 1/x