theorem mean value

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..

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..

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 ) = 3 x 2 - 2 on [2, 3] satisfies the mean value theorem. => no or yes..

Select the statement that explains why the mean value theorem does not apply to the function f ( x ) = | x | in the interval [-1, 1]. => | x | is not continuous in (-1, 1) or | x | is not differentiable in (-1, 1) or | x | is not continuous in [-1, 1] or | x | is diffe..

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

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