Steve A
Favorite Answer
f(x) = 12x^2 + 2
f(x+h) = 12(x+h)^2 + 2
f(x+h) - f(x) = 12(x+h)^2 +2 - 12x^2 -2
= 12x^2 +24xh + 12h^2 - 12x^2
= 24xh - 12h^2
{f(x+h) - f(x)}/h = 24x - 12h
as h --> 0, the limit of f'(x) = 24x
Pope
The function definition is a given condition, and we are now asked to derive that same definition?
Mark
We're not taking the summer school class that you are, so do it yourself or ask your teacher.