2)
(f(b)-f(a))/(b-a)=f'(c)>=M
so
f(b)-f(a)>=M(b-a)
f(b)>=f(a)+M(b-a)
If anyone can help get me started on these two problems, I'd be greatful =)
1. Verify that the function satisfies the hypothesis of the Mean Value Theorem on the given interval. Then find all the numbers c that satisfy the conclusion of the given interval
f(x) = x/(x+2) on [1,4]
2. If f'(x) is greater than or equal to M on [a,b], show that f(b) is greater than or equal to f(a) + M(b-a)
I am having a hard time wrapping my head around these two, so if someone could help explain how to go about looking at problems of these sorts... that'd be nice
Thanks guys!