1. The problem statement, all variables and given/known data If a and b are positive numbers, find the maximum value of f(x) = x^a(1 - x)^b on the interval 0 ≤ x ≤ 1.? 2. Relevant equations f'(x) = x^a . -b(1-x)^(b-1) + (1-x)^b . ax^(a-1) 3. The attempt at a solution I know to set f'(x) = 0 but i'm not sure how i'm supposed to tidy up the f'(x) above..