SOLUTION: The problem is: f(x)=3x^2+x+5 f(x+h)-f(x)/h h is not = to 0

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Question 97457: The problem is:
f(x)=3x^2+x+5
f(x+h)-f(x)/h
h is not = to 0
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is:
f(x)=3x^2+x+5
f(x+h)-f(x)/h
h is not = to 0
---------------------
f(x+h) = 3(x+h)^2+(x+h)+5
= 3x^2 + 6hx + 3h^2 + x + h + 5
= 3x^2 +(6h+1)x + 3h^2 + h + 5
--------
f(x) = 3x^2 + x + 5
-----------
Subtract to get:
6hx+3h^2+h
-------------
Divide by h to get:
6x^2 + 3h + 1
====================
Cheers,
Stan H.