mean value theorem

Theorem 7: - Let f be real valued function in [a,b] such that, f is continuous in [a,b]. f is differentiable in (a,b..

Rolle's Theorem: Let f be a real valued function in [a,b] such that f is continuous in [a,b]. f is differentiable in (a,b). ..

Find the value in the interval, which satisfies the Mean Value Theorem for the function f ( x ) = 1 - x on [- 8, 1]. => 0 or - 5 4 or 1 or - 4 5 or 3..

Find the value in the interval, which satisfies the Mean Value Theorem for the function f ( x ) = 1 + 1 x on [1, 4]. => 3 9 6 or 3 5 1 0 or - 2 or 2 or 0..

State whether the function f ( x ) = ln x on [1, 2] satisfies the mean value theorem. => yes or no..

Select the statement that explains why the mean value theorem does not apply to the function f ( x ) = tan x in the interval [0, π ]. => tan x is continuous in [0, π ]. or tan x is not continuous in [0, π ]. or tan x is not differentiable in (0, π ). or bot..

Find the value in the interval, which satisfies the Mean Value Theorem for the function f ( x ) = x 4 3 on [- 1, 1]. => 4 3 or - 1 or 3 4 or 1 or 0..

Find the value in the interval, which satisfies the Mean Value Theorem for the function f ( x ) = x 2 - 9 on [3, 9]. => 3 2 or 3 3 or - 3 3 or 3 or 0..