lol, you must be like 500 years old.mathwonk said:only a minute? it took me 40 years to learn that.
This is indeed, a crucial theorem, and unfortunately, it seems that many tend to forget it as one of the two pillars upon which applied calculus is built.mathwonk said:the other fundamental theorem is really the mean value theorem, which says that two differentiable functions with the same derivative on an interval, differ by a constant on that interval.
D'oh, what a stupis browser... It prevents me from learning something new, and understand the ftc more deeply...mathwonk said:well phooey, i have been typing for about 15 minutes and all of a suddeen the browser erased all of my work.
anyway i am not kidding. if you understabnd everything i have written and think it ridiculous that ti took me 40 to learn it, more power to you.
but if you think the ftc just says a continuous functiuon is differentiable everywhere and has derivative equal to the original fucntion, and any antiderivative differs from the origiinal continuous function by a constant then you know diddly.