What is (\partial)/(\partial x)((e*x)/(c-x)) ?

The answer to (\partial)/(\partial x)((e*x)/(c-x)) is (ec)/((c-x)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)((e*x)/(c-x))

\frac{\partial}{\partial x} (\frac{e \cdot x}{c - x})

\frac{ec}{( c - x ) ^{2}}

Solution steps

\frac{\partial}{\partial x} (\frac{e x}{c - x})

Take the constant out:

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

= e \frac{\partial}{\partial x} (\frac{x}{c - x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= e \frac{\frac{\partial}{\partial x} ( x ) ( c - x ) - \frac{\partial}{\partial x} ( c - x ) x}{( c - x ) ^{2}}

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

\frac{\partial}{\partial x} (c - x) = - 1

= e \frac{1 \cdot ( c - x ) - ( - 1 ) x}{( c - x ) ^{2}}

Simplify

e \frac{1 \cdot ( c - x ) - ( - 1 ) x}{( c - x ) ^{2}} : \frac{ec}{( c - x ) ^{2}}

= \frac{ec}{( c - x ) ^{2}}

x \to 4 - lim (\frac{- 2}{x ^{2} - 16})

2 x^{2} - 3

\int \frac{1}{25 x ^{2} - 4} d x

\frac{d}{d x} (\frac{1}{2} x^{3} + \frac{1}{6 x})

\frac{\partial}{\partial x} (3^{4} - 6 5^{3})

What is (\partial)/(\partial x)((e*x)/(c-x)) ?
The answer to (\partial)/(\partial x)((e*x)/(c-x)) is (ec)/((c-x)^2)