## anonymous 4 years ago what is the derivative of this f(x)=2x−5/6x−8.

1. anonymous

$\frac{2x-5}{6x-8}$

2. anonymous

quotient rule for this one

3. anonymous

$f'(x)=\frac{6x-8)\times 2-(2x-5)\times 6}{(6x-8)^2}$ then some algebra to clean up the numerator

4. anonymous

$\frac{(2x-5)\prime \times(6x-8)-(2x-5)(6x-8)\prime}{(6x-8)^{2}}=\frac{2(6x-8)-6(2x-5)}{(6x-8)^{2}}$

5. anonymous

thanks