What is the derivative of (e^x/(4-2x)) ?

The derivative of (e^x/(4-2x)) is (e^x(-x+3))/(2(x-2)^2)

What is the first derivative of (e^x/(4-2x)) ?

The first derivative of (e^x/(4-2x)) is (e^x(-x+3))/(2(x-2)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{e ^{x}}{4 - 2 x})

\frac{e ^{x} ( - x + 3 )}{2 ( x - 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{e ^{x}}{4 - 2 x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( e ^{x} ) ( 4 - 2 x ) - \frac{d}{d x} ( 4 - 2 x ) e ^{x}}{( 4 - 2 x ) ^{2}}

\frac{d}{d x} (e^{x}) = e^{x}

\frac{d}{d x} (4 - 2 x) = - 2

= \frac{e ^{x} ( 4 - 2 x ) - ( - 2 ) e ^{x}}{( 4 - 2 x ) ^{2}}

Simplify

\frac{e ^{x} ( 4 - 2 x ) - ( - 2 ) e ^{x}}{( 4 - 2 x ) ^{2}} : \frac{e ^{x} ( - x + 3 )}{2 ( x - 2 ) ^{2}}

= \frac{e ^{x} ( - x + 3 )}{2 ( x - 2 ) ^{2}}

\frac{d y}{d t} = \frac{( y + 3 )}{( 1 - y )}

\int 2 csc (x) cot (x) d x

\int 11 θ tan^{2} (θ) d θ

\frac{\partial}{\partial x} (- \frac{2}{3} x - \frac{1}{3} y + 2)

x + e^{x} - \frac{1}{x}

What is the derivative of (e^x/(4-2x)) ?
The derivative of (e^x/(4-2x)) is (e^x(-x+3))/(2(x-2)^2)
What is the first derivative of (e^x/(4-2x)) ?
The first derivative of (e^x/(4-2x)) is (e^x(-x+3))/(2(x-2)^2)