Question

rolles theorem question and solutions​

Answer 1

Step-by-step explanation:

Example 1. The graph of f(x) = - x 2 + 6x - 6 for 1 ≤ x ≤ 5 is shown below. f(1) = f(5) = - 1 and f is continuous on [1 , 5] and differentiable on (1 , 5) hence, according to Rolle's theorem, there exists at least one value of x = c such that f '(c) = 0.