Letſ be continuous on (a, b), differentiable on (a, b) and positive (ie.. > 0) for all x E (a, b). Prove that there exists c E (a, b) such that?" 1 fe) (Hint: consider the function F(x) = (x - a) (x - b) / (x) and use MVT for F(x) to show the existence of such c E (a,b):)
