SOLUTION: Where do I start? I am so lost... here is the problem... Given f(x)=6x^2 + 5x

SOLUTION: Where do I start? I am so lost... here is the problem... Given f(x)=6x^2 + 5x - 4 find [f(x+h)-f(x)] / h

Question 15182: Where do I start? I am so lost... here is the problem...
Given f(x)=6x^2 + 5x - 4 find [f(x+h)-f(x)] / h

Answer by wgunther(43) (Show Source): You can put this solution on YOUR website!
okay
x is just the dependent variable. you can just as easily say

That's just input. Now, the problem you are asking is VERY important for later mathematics, so spend some time trying to understand it for sure.

REMEBER TO DISTRIBUTE NEGATIVE IN SECOND TERM!

Combined any common terms (6x^2-6x^2=0, 5x-5x=0 -4+4=0)

Factor out and cancel out h

Like I said, this is a very important thing for later mathematical concept. It's called the difference quotient.
RELATED QUESTIONS
How do I start this problem: Given f(x)=4+3x-x^2 ,find and simplify f(h+5) -... (answered by ankor@dixie-net.com)

Hello, Here is the problem I am stuck on: If h(x) = 2 + ( 1/sqrt(x+4) ), find... (answered by Fombitz)

find (f(x+h)-f(x))/(h) for f(x)=-5/(x+2). I just don't know where to... (answered by josgarithmetic)

How do I start to get the function to this problem? f(x)=5x^2+6x-2 f(4)=? (answered by MathLover1)

I need help finding the difference quotient for the following function. F(x)=5x-4... (answered by Edwin McCravy)

I need help finding the difference quotient for the following function. F(x)=5x-4... (answered by josgarithmetic)

Find f(a), f(a+h), and the difference quotient f(a+h)-f(a)/h, where h is unequal to 0.... (answered by josgarithmetic)

How would I do this problem? Compute and simplify {{{ (F(x+h)-F(x))/h }}} (assume H is (answered by psbhowmick)

I am having a hard time with multiplying out (2+h)^3. I have tried to do... (answered by richard1234,MathLover1)