Redo Problem 10.11, given f(x) = (3 – x)4

Continuing on, as explained in Section 10.7,

With the first nonzero higher-order derivative even-numbered and greater than 0, f(x) is minimized at x = 3.

(c) There is no inflection point.

(d) f(3) = 0 (3,0) relative minimum

(e) See Fig. 10-17.

Transcribed Image Text:

(a) f'(x)=4(3-x)3(-1) = -4(3-x)3 = 0 (b) x = 3 critical value f"(x) 12(3x) = f" (3) 12(3-3) = 0 = test inconclusive