How can you sometimes graph the derivative of a function when all you have is a table of the function’s values?

Solution:Step 1 of 3:In this problem, we need to explain how can we sometimes graph the derivative of a function when all we have is a table of the function’s values.Step 2 of 3:Let us suppose the table xf(x) . . ....We represent the given values. If they are dense enough we can graph the first derivative simply by taking an arbitrary point and since the derivative measures the change of a function around a point we can set that the value of the derivative. Note that the denser the points, the more accurate the value of the derivative.We can then graph the derivative by a smooth function containing all the points () and this should resemble the shape of the actual derivative.