Question

Whats the difference between Rolle's Theorem and the Mean Value Theorem

Answer 1

hey

Answer 2

let me know if you're here and need help on this

Answer 3

i need help!

Answer 4

rolle's theorem is a special case of the mean value theorem

Answer 5

how do I do them though. I have a test tomorrow and i have no idea what im doing

Answer 6

ok here's the formula for mean value theorem

Answer 7

f ' (c) = [f(b) - f(a)]/b-a

Answer 8

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)

Answer 9

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

Answer 10

so how would i figure out waht the square root of x-2 is when the interval is at [2,6]

Answer 11

do you mean f(x) = sqrt (x-2) ?

Answer 12

and you want to find the point where the mean value theorem applies?

Answer 13

you still there?