Let a,b R, a < b and consider f : [a,b] R continuous on [a,b], differentiable on (a,b) and such that f(a) = f(b) = 0. Show that for any M > 0 there exists c (a,b) such that:
M * f(c) + f '(c) = 0
Any help appreciated! Please and thank you
Let a,b R, a < b and consider f : [a,b] R continuous on [a,b], differentiable on (a,b) and such that f(a) = f(b) = 0. Show that for any M > 0 there exists c (a,b) such that:
M * f(c) + f '(c) = 0
Any help appreciated! Please and thank you