Antidifferentiation TS: Examining Information from more than one view point.

Objectives To be able to find a specific function when given the derivative and a known location.

Basic Integration Rules Given the below derivative, find f(x). This represents the family of parabolas that have slopes given by f’(x) = 2x – 2 But what if we wanted to find the equation for a specific one of these parabolas? Say for example the one through (1,2).

Basic Integration Rules Find the function that satisfies these conditions:

Basic Integration Rules Find the function that satisfies these conditions:

Basic Integration Rules Find the function that satisfies these conditions:

Conclusion Antidifferentiation is a process or operation that reverses differentiation. If we want to find a specific function given its derivative(s) then we must be given a specific fact which we then can substitute in and solve for the constant of variation, C