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

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Presentation on theme: "Objectives To be able to find a specific function when given the derivative and a known location."— Presentation transcript:

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

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

3 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).

4 Basic Integration Rules
Find the function that satisfies these conditions:

5 Basic Integration Rules
Find the function that satisfies these conditions:

6 Basic Integration Rules
Find the function that satisfies these conditions:

7 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


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