00:01
So the graph of the function y equals f of x is shown.
00:03
So this is f of x, by the way.
00:07
And we're asked about at which point are the following statement true.
00:11
So we'll go through each of the statement.
00:13
So for a, we are told that where the slope is positive, so d, y, dx and the first derivative, and it is concave up.
00:23
So the second derivative is positive.
00:26
So we want positive slope and concave up.
00:30
So concave up occurs right here in this region, so in a and b.
00:36
And b has a positive slope, but a has a negative slope.
00:41
So the answer would be b.
00:45
And then for b, so for the next one, it's telling us that the slope and the second and second derivative are both negative.
00:56
So that means it is concave down and negative slope...