What is the derivative of (6x-3/(x-3)) ?

The derivative of (6x-3/(x-3)) is -(15)/((x-3)^2)

What is the first derivative of (6x-3/(x-3)) ?

The first derivative of (6x-3/(x-3)) is -(15)/((x-3)^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{6 x - 3}{x - 3})

- \frac{15}{( x - 3 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{6 x - 3}{x - 3})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 6 x - 3 ) ( x - 3 ) - \frac{d}{d x} ( x - 3 ) ( 6 x - 3 )}{( x - 3 ) ^{2}}

\frac{d}{d x} (6 x - 3) = 6

\frac{d}{d x} (x - 3) = 1

= \frac{6 ( x - 3 ) - 1 \cdot ( 6 x - 3 )}{( x - 3 ) ^{2}}

Simplify

\frac{6 ( x - 3 ) - 1 \cdot ( 6 x - 3 )}{( x - 3 ) ^{2}} : - \frac{15}{( x - 3 ) ^{2}}

= - \frac{15}{( x - 3 ) ^{2}}

\int sin (6 t) d t

\frac{d}{d x} (\frac{sin ( 0.5 x )}{x})

\int - \frac{2000 x}{( 1 + x ^{2} )} d x

x \to 0 + lim (sinh (x) cot (x))

x^{2}, at x = 2

What is the derivative of (6x-3/(x-3)) ?
The derivative of (6x-3/(x-3)) is -(15)/((x-3)^2)
What is the first derivative of (6x-3/(x-3)) ?
The first derivative of (6x-3/(x-3)) is -(15)/((x-3)^2)