Let f be differentiable for all x. If f(1) = – 2 and f'(x) ≥ 2 for all x ∈ [1, 6] then show that f(6) ≥ 8
As we know that every differentiable function is continuous. So it is continuous in [1, 6]
Thus, by L.M.V. theorem, there exists a point c ∈(1, 6) such that
