Could this be true If f ''(x) is positive for a<x<c,then f '(x) must be increasing for all x on that interval?

0 ⤊

2006-10-14 05:33:46 · 3 answers · asked by Doug 2 in Science & Mathematics ➔ Mathematics

Yes. If a function's derivative is positive on an interval, then the function itself is increasing on that interval.

2006-10-14 05:37:11 · answer #1 · answered by James L 5 · 0⤊ 0⤋

Yes it is true. f"(x) is the slope of f'(x). if it is positive, then f'(x) must be increasing.
Incidently, f(x) will be concave down.

2006-10-16 20:39:20 · answer #2 · answered by yupchagee 7 · 0⤊ 0⤋

Yes, it's true

2006-10-14 12:48:54 · answer #3 · answered by I ♥ AUG 6 · 0⤊ 0⤋