00:01
Hello, i have a question says that the figure shows the graph of derivative of ab -tash -x of a function f.
00:08
This is the graph of f -dash -x, x, y, and this is minus 2, we have 0, we have minus 1, we have 1.
00:23
So graph is like this.
00:36
First of all, on what intervals is f -increasing or decreasing? so increasing, that is, if this is the graph of f -pash -x, f -ash -x, so increasing will be when f -fash -x is positive, that is that part of the graph where the graph is above x -exes, and for decreasing, below x -exes.
01:01
So if we talk about decreasing function, this is minus infinity to minus two, union, zero to infinity.
01:10
Okay.
01:11
And if you talk about increasing, so this part.
01:14
Part only this part so minus two to zero it is increasing function but b for what value of x does f has local maximum or minimum local maximum or minimum first of critical points are minus two and zero so for local maximum or maximum that is the slope of temperature and negative and only will have will be local maximum so local maximum will be at x equal to 0 because he is a positive slope this is negative slope this is for local maximum and local minimum this point is local minimum local minimum is x equal to minus 2 excuse the graph of f double dash x okay f double dash x let us write this is x this is y and we have this minus 2 minus 1, 0...