#### Let a be a real number, 0≤a≤1. Show that (1+x)^a ≤ 1+ ax for x -1.

Jada Hunt

0

This is probably a lot easier than i think it is. This probably solves itself by showing the relationship between the derivative of LHS and RHS, but I was a little stumped by the multiple variables.
Or do i show that there does not exists a number 'a' in the given interval, where (1+x)^a > 1+ax?