1. The problem statement, all variables and given/known data Let f be a function defined on an interval [a,b]. min f' <= f(b) - f(a) / b -a <= max f' where min f' and max f' refer to the mininmum and maximum values of f' on [a,b] Then the question is Using that inequality; estimate f(.1) if f'(x) = 1 / (1 + x^4 cos x) for 0 <= x <= .1 and f(0) = 1 3. The attempt at a solution I really don't know where to start with this, I have min f'(x) <= f'(c) <= max f'. The book says to use a calculator too.