The polynomial f(a:) 2m5l3m42m3 2:1:2l3m1 has a stationary point at a: = 1. This is because f(1) (1) = 0 9 Calculate the higher derivatives:
The polynomial f(a:) 2m5l3m42m3 2:1:2l3m1 has a stationary point at a: = 1. This is because f(1) (1) = 0 9 Calculate the higher derivatives: . f(2)(1) = 0 o . f(3)(1) = 0 o . f(4)(1) = 480 o . So the smallest positive integer n > 1 for which f(n) (1) 75 0 is TL: 480 . Hence the function has a local maximum 0 at a: = 1
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