The process of antidifferentiation takes a derivative, and asks, "What would original function would you differentiate to make this derivative?" You will not be able to find the original function unless a coordinate is provided, as each anti-derivative includes a constant C. However, we can still find important features of the function, such as where extrema occur, or where points of inflection may occur. Today we will start looking at graphing functions based on information obtained from the first and second derivatives.
- p192 #25-37, 43, 45, 47, 51
Things you should know after today:
- given f'(x), determine the antiderivative
- given f'(x) and a coordinate on f(x), determine the antiderivative inculding the constant term