1. The problem statement, all variables and given/known data The graph of the function f is given, Draw the graph of f' The graph looks like that of a parabola extending continuously upwards to the left and the right. 2. Relevant equations lim f(x+ delta(x)) - f(x) delta x -> 0 delta(x) or power rule nX^n-1 3. The attempt at a solution I have been accustomed to numerical derivatives and using the limit process or power rule to find the answer. Here I am given a graph (from what I see has direct points at (0,0), (1,1), (2,4), (-1,-1), and (-2,4) ). What I would like to know is how to approach the problem. I tried to reference a problem in my textbook similar to this problem and I see that the parabola's lowest point is onto of (4,0) and the answer in the book then uses this point in the answer (sort of) with x=4. I would like to know, since my problem is similar to the practice problem which way i would draw the line since my parabola is right in the middle of the graph unlike the practice problem (number 41). I appreciate the help / guidance in advanced.