anonymous
  • anonymous
Whats the difference between Rolle's Theorem and the Mean Value Theorem
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
hey
anonymous
  • anonymous
let me know if you're here and need help on this
anonymous
  • anonymous
i need help!

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anonymous
  • anonymous
rolle's theorem is a special case of the mean value theorem
anonymous
  • anonymous
how do I do them though. I have a test tomorrow and i have no idea what im doing
anonymous
  • anonymous
ok here's the formula for mean value theorem
anonymous
  • anonymous
f ' (c) = [f(b) - f(a)]/b-a
anonymous
  • anonymous
that means that if the function is differentiable on the interval (a,b), then there must be some point c that makes that equation true where c is in the interval (a,b)
anonymous
  • anonymous
so there's somewhere in the interval where the slope of the tangent is the same slope as the slope of the line if you drew a line connecting the endpoints
anonymous
  • anonymous
so how would i figure out waht the square root of x-2 is when the interval is at [2,6]
anonymous
  • anonymous
do you mean f(x) = sqrt (x-2) ?
anonymous
  • anonymous
and you want to find the point where the mean value theorem applies?
anonymous
  • anonymous
you still there?

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