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Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers "c" tha...Asked by Julia
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers "c" that satisfy the conclusion of Rolle's Theorem.
f(x)=sin4pix , [-1/2,1/2]
Well according to Rolle's Theorem, it has to be continuous on [a.b] and it is and differentiable on (a,b) and it is too. Not so sure about f(a)=f(b).
Then I got the derivative = cos(4pix)4pi
I don't know what to do from there on.. Please help!
f(x)=sin4pix , [-1/2,1/2]
Well according to Rolle's Theorem, it has to be continuous on [a.b] and it is and differentiable on (a,b) and it is too. Not so sure about f(a)=f(b).
Then I got the derivative = cos(4pix)4pi
I don't know what to do from there on.. Please help!
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