A if f1 7 then fx is increasing at x 1 b if f22 0 then a

Question

Decide whether the following are true or false.

(a) If f'(1) = 7, then f(x) is increasing at x = 1.

(b) If f'(22) = 0, then a relative maximum or a relative minimum occurs at x = 22.

(c) If f'(23) = 0 and f'(x) changes from positive on the left to negative on the right of x = 23, then a relative minimum occurs at x = 23.