question_answer 74)

It is given that x = 1, the function x4 2 62x2 + ax + 9 attains its maiximum value, on the interval [0, 2]. Find the value of a. 

Answer:

Let f(x) = x4 2 62x2 + ax + 9 on [0, 2]             Since f(x) have its maximum value at x = 1       Therefore x = 1 is the critical point