## mathyhug 2 years ago what is the derivative of (2x+7)/(6x+2)

1. samap0825

first multiply them all together 12x^2 + 4x + 42x + 14 then take derivative 24x + 4 + 42 -> 24x + 44

2. .Sam.

No you cant multiply its in fraction

3. Dockworker

use the quotient rule here

4. samap0825

never mind, i thought that multiplification, my bad

5. Dockworker

$\frac{d}{dx}(\frac{2x+7)}{6x+2})=\frac{(6x+2)2-(2x+7)6}{(6x+2)^2}$ you can simplfiy

6. Dockworker

the 2 and 6 in the numerator are not exponents, btw

7. SUROJ

quotient rule

8. SUROJ

(deniminator * derivative of numerator - numerator* derivative of denominator)/(denominator*benominator)

9. SUROJ

denominator lol