7) Let f(x) = tan(x). Show that there is no point c in the interval (0,...

Transcribed Image Text:

7) Let f(x) = tan(x). Show that there is no point c in the interval (0, ) such that f'(c) = 0 even though (0) = (). Why does this not contradict Rolle's Theorem? 8) Verify the hypothesis of the MVT for the function f(x) = x + 2x - x on the interval [-1,2] 7) Let f(x) = tan(x). Show that there is no point c in the interval (0, ) such that f'(c) = 0 even though (0) = (). Why does this not contradict Rolle's Theorem? 8) Verify the hypothesis of the MVT for the function f(x) = x + 2x - x on the interval [-1,2]