If f ′′(x) > 0 on the interval (a, b) then f(x) is concave down on the interval (a, b).
If f ′(x) > 0 on the interval (a, b) then f(x) is increasing on the interval (a, b).
If f ′(c) = 0, then x = c is a relative maximum on the graph of f(x).
None of these are true.
the first derivitive is the slope a positive 1st deriviive is positive slope or increasing a negaitve 1st derivitive is negative slope or decreasing
the 2nd derivitive tells about the concavity a negative second derivitive means it is concave down at that point a positive 2nd derivitive means it is concave up at that point
so
first one is false 2nd is true 3rd is false because it could possibly be a minimum as well
