Question

Using L.M.V. theorem, prove that |tanx – tany| ≥ |x – y| for all x, y in (– π/2, π/2)  

Answer 1

Let f(x) = tan x Clearly, f(x) is continuous and differentiable for all

x, y in (– π/2, π/2)

So, L.M.V. theorems is applicable.