en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (3x+1/(7x+5))

Solution

\frac{d}{d x} (\frac{3 x + 1}{7 x + 5})

Solution

\frac{8}{( 7 x + 5 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3 x + 1}{7 x + 5})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 3 x + 1 ) ( 7 x + 5 ) - \frac{d}{d x} ( 7 x + 5 ) ( 3 x + 1 )}{( 7 x + 5 ) ^{2}}

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

\frac{d}{d x} (7 x + 5) = 7

= \frac{3 ( 7 x + 5 ) - 7 ( 3 x + 1 )}{( 7 x + 5 ) ^{2}}

Expand

3 (7 x + 5) - 7 (3 x + 1) : 8

= \frac{8}{( 7 x + 5 ) ^{2}}

Graph

Popular Examples

derivative of (x^x/(sin(x)))

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

roots asin(t/c)roots

a sin (\frac{t}{c})

integral of x^{1/3}sin(x^{4/3}+8)

\int x^{\frac{1}{3}} sin (x^{\frac{4}{3}} + 8) d x

limit as x approaches 0+of 1/x-1/(e^x-1)

x \to 0 + lim (\frac{1}{x} - \frac{1}{e ^{x} - 1})

derivative of e^{cos(x-2sec(x)})

\frac{d}{d x} (e^{c o s (x) - 2 s e c (x)})

Frequently Asked Questions (FAQ)

What is the derivative of (3x+1/(7x+5)) ?
The derivative of (3x+1/(7x+5)) is 8/((7x+5)^2)
What is the first derivative of (3x+1/(7x+5)) ?
The first derivative of (3x+1/(7x+5)) is 8/((7x+5)^2)