00:01
Hi, there is a question, you see that the graph of the derivative of f prime of a function is given and i need to answer some questions.
00:10
So, the graph is this is x, this is y, and this is a fifth number question.
00:25
Graph looks like this and this point, this is 1, this is 5, and this is the graph of y equal to f prime x.
00:42
Answers and the questions are on what interval is f increasing or decreasing.
00:48
So, we can see that, you know that for increasing function, f prime x must be positive, that is the part of the graph which will be above the x axis.
00:59
So, above the x axis are the, are this part of the graph.
01:05
So, for increasing function, increasing function will be when x belongs to 1 to 5.
01:17
And for decreasing function, f prime x is less than 0, that is the part of the graph, which are below the x axis.
01:26
So, decreasing, for decreasing function, the interval should be x belongs to 0 to 1 union 5 to 6, because this is 6 increasing and decreasing...