Mathematics

Julien Jarvis

31 March, 06:45

To illustrate the mean value theorem with a specific function, let's consider f (x) = x3 - x, a = 0, b = 2. since f is a polynomial, it is continuous and differentiable for all x, so it is certainly continuous on [0, 2] and differentiable on (0, 2). therefore, by the mean value theorem, there is a number c in (0, 2) such that