determine if Rolle's Theorem can be applied. If the theorem can be applied, find all c values.
f(x) = x^2 - 1 / x [-1, 1]
I've done a few of these, but I am very confused about this one.
First you want to make sure that f(1) = f(-1), Then make sure that the function is continuous on [-1,1], and differentiable on (-1,1)
Then if those conditions hold, you can apply Rolle's theorem.
Then find f'(x), and find for what x value or values does f'(x)=0.
well, the problem's directions say exactly this:
determine wether Rolle's Theorem can be applied to f on the losed interval [a,b]. If Rolle's Theorem can be applied, find all values of c in the open interval (a,b) such that f'(c)=0.
I just don't understand calculus really at all, if you want the honest truth. About 80% of my calc. AP class doesnt get whats going on because of the teacher. He says we need to do research and figure out our own ways of doing this, yet still grades us on wether or not we get it right. I'm only taking this class because it looks great on a college app. I'm stressing so bad over here.