Hi, I have this graph of a function but it doesn't give the equation for the function. The question wants me to graph the derivative but I don't know how. I am able to count where the points are so can anyone help me?
A handy trick to remember while you are doing this is that any point where the function has a relative maximum or minimum is going to be a point where the derivative graph crosses (or perhaps touches) the x-axis. (Because the derivative is zero there.) The same comment holds for inflection points as well if you are practiced enough to be able to spot those.
Topsquark gave you the best advice.
Let me try to make it clearer . . .
I have this graph of a function, but not the equation for the function.
The question wants me to graph the derivative.
Suppose your graph looks like this:Code:* * * * * * * * * * * * *
Estimate the slope at a number of points.Code:m=0 m=1 -*- m=-1 * * / \ m=2 * * m=-2 / \ * * * * * m=2 \ / m=-1 * * m=1 \ -*- / m=0
Those are the values we plot on the "derivative graph".Code:| 2+ * * | | 1+ * * | | - + - - - - * - - - - - * - - | | -1 * * | | -2+ * |
Hope this helps . . .