What is the derivative of (2x+1/(3-5x)) ?

The derivative of (2x+1/(3-5x)) is (11)/((3-5x)^2)

What is the first derivative of (2x+1/(3-5x)) ?

The first derivative of (2x+1/(3-5x)) is (11)/((3-5x)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (\frac{2 x + 1}{3 - 5 x})

\frac{11}{( 3 - 5 x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{2 x + 1}{3 - 5 x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 2 x + 1 ) ( 3 - 5 x ) - \frac{d}{d x} ( 3 - 5 x ) ( 2 x + 1 )}{( 3 - 5 x ) ^{2}}

\frac{d}{d x} (2 x + 1) = 2

\frac{d}{d x} (3 - 5 x) = - 5

= \frac{2 ( 3 - 5 x ) - ( - 5 ) ( 2 x + 1 )}{( 3 - 5 x ) ^{2}}

Simplify

\frac{2 ( 3 - 5 x ) - ( - 5 ) ( 2 x + 1 )}{( 3 - 5 x ) ^{2}} : \frac{11}{( 3 - 5 x ) ^{2}}

= \frac{11}{( 3 - 5 x ) ^{2}}

\int (1 - x)^{9} d x

d er i v a t i v e f (x) = \frac{sin ( x )}{cos ( x )}

\int x^{2} - 2 d x

\int x^{2} 1 - x^{2} d x

\int sin (2 x) 5 + sin^{2} (x) d x

What is the derivative of (2x+1/(3-5x)) ?
The derivative of (2x+1/(3-5x)) is (11)/((3-5x)^2)
What is the first derivative of (2x+1/(3-5x)) ?
The first derivative of (2x+1/(3-5x)) is (11)/((3-5x)^2)