# Thread: Compute and simplify the difference quotient...assistance

1. ## Compute and simplify the difference quotient...assistance

I am practicing for a test...I am not looking for the answer, but rather, some assistance if someone could please take me through this problem as I am very confused by this one. Any assistance would be greatly appreciated!

2. ## Re: Compute and simplify the difference quotient...assistance

computation first:

f(x) is given in the question
to get f(x+h), just replace every "x" with "x+h"

$f(x+h) = 3(x+h)^2 + 5(x+h)=3x^2 + 6xh + 3h^2+5x+5h$

so:
$f(x+h) - f(x) =3x^2 + 6xh + 3h^2+5x+5h-3x^2 -5x$

cancel out and then divide by h to finish.

3. ## Re: Compute and simplify the difference quotient...assistance

Thank you for making this so clear to me! Sometimes I overthink things! Answer is 6x + 3h + 5