Question

let f(x) = 5 x - 1 and let g(x) = 3x - 5 What is the derivative of h(x) = (f(x))/(g(x)) at x = 2 ?

Answer 1

use the quotient rule.

h' = (f'g-fg')/g^2
= (5(3x-5)-(5x-1)*3)/(3x-5)^2
= -22/(3x-5)^2