Let be a function defined on an interval [a, b]. What conditions could you place on to guarantee that where min and

Let ƒ be a function defined on an interval [a, b]. What conditions could you place on ƒ to guarantee that

where min ƒ′ and max ƒ′ refer to the minimum and maximum values of ƒ′ on [a, b]? Give reasons for your answers.

min f' f(b) f(a) b - a < max f',