(b) [11 marks] State and prove the increasing/Decreasing Theorem. You may use the Mean Value Theorem provided you state
Posted: Mon May 09, 2022 11:07 am
consider h(x) = f(x)-g(x)
(b) [11 marks] State and prove the increasing/Decreasing Theorem. You may use the Mean Value Theorem provided you state it correctly. (c) [8 marks] Let f and g be differentiable on the interval (a,b) and continuous on (a,b). Show that it f'(x) > g'(x) for all x € (a,b) and f(a) = g(a) then f(x) > g(x) for all x € (a,b). (Hint: nonnidar
(b) [11 marks] State and prove the increasing/Decreasing Theorem. You may use the Mean Value Theorem provided you state it correctly. (c) [8 marks] Let f and g be differentiable on the interval (a,b) and continuous on (a,b). Show that it f'(x) > g'(x) for all x € (a,b) and f(a) = g(a) then f(x) > g(x) for all x € (a,b). (Hint: nonnidar