What is the derivative of (9+6x)/(7-4x) ?

The derivative of (9+6x)/(7-4x) is (78)/((7-4x)^2)

What is the first derivative of (9+6x)/(7-4x) ?

The first derivative of (9+6x)/(7-4x) is (78)/((7-4x)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{9 + 6 x}{7 - 4 x}

\frac{78}{( 7 - 4 x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{9 + 6 x}{7 - 4 x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 9 + 6 x ) ( 7 - 4 x ) - \frac{d}{d x} ( 7 - 4 x ) ( 9 + 6 x )}{( 7 - 4 x ) ^{2}}

\frac{d}{d x} (9 + 6 x) = 6

\frac{d}{d x} (7 - 4 x) = - 4

= \frac{6 ( 7 - 4 x ) - ( - 4 ) ( 9 + 6 x )}{( 7 - 4 x ) ^{2}}

Simplify

\frac{6 ( 7 - 4 x ) - ( - 4 ) ( 9 + 6 x )}{( 7 - 4 x ) ^{2}} : \frac{78}{( 7 - 4 x ) ^{2}}

= \frac{78}{( 7 - 4 x ) ^{2}}

y = e^{x} (p + p p)

ln (2 - 3 x)

\frac{d y}{d x} = \frac{x sec ( \frac{y}{x} ) + y}{x}

\int sec (\frac{x}{2}) tan (\frac{x}{2}) d x

y = 2 5 - x^{2}

What is the derivative of (9+6x)/(7-4x) ?
The derivative of (9+6x)/(7-4x) is (78)/((7-4x)^2)
What is the first derivative of (9+6x)/(7-4x) ?
The first derivative of (9+6x)/(7-4x) is (78)/((7-4x)^2)