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Use the limit definition to compute f(x) if f(x) = 12x^2 + 2?
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- Steve ALv 72 years agoFavorite 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
- PopeLv 72 years ago
The function definition is a given condition, and we are now asked to derive that same definition?
- ?Lv 72 years ago
We're not taking the summer school class that you are, so do it yourself or ask your teacher.
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