SOLUTION: In College Algebra we begin to work with and simplify the difference quotient, which is given by the formula .f(x+h)-f(x)/h Find the difference quotient for the following functio

Algebra ->  Rational-functions -> SOLUTION: In College Algebra we begin to work with and simplify the difference quotient, which is given by the formula .f(x+h)-f(x)/h Find the difference quotient for the following functio      Log On


   

Question 1006059: In College Algebra we begin to work with and simplify the difference quotient, which is given by the formula .f(x+h)-f(x)/h Find the difference quotient for the following function by completing the following steps:

(𝑥)=5𝑥−4

1. Find f(x + h) = _________________________



2. Find f(x) = _____________________________



3. Find f(x+h) – f(x) = ______________________



4. Find = ______________________

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 5x - 4
1) f(x+h) = 5x +5h - 4
2) f(x) = 5x - 4
3) 5x +5h -4 -5x +4 = 5h
4) 5h / h = 5
therefore the first derivative of f(x) is f'(x) = 5