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Antiderivatives Section 4.8. Lesson Objectives Students Will… ›Find the antiderivative of a function from its derivative f(x). ›Apply antiderivatives.

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Presentation on theme: "Antiderivatives Section 4.8. Lesson Objectives Students Will… ›Find the antiderivative of a function from its derivative f(x). ›Apply antiderivatives."— Presentation transcript:

1 Antiderivatives Section 4.8

2 Lesson Objectives Students Will… ›Find the antiderivative of a function from its derivative f(x). ›Apply antiderivatives to solve initial value problems. Calculus Roadmap ›Limits & Derivatives  Antiderivatives  Integration

3 What is an antiderivative? ? Any others ?

4 Antiderivative Definition

5 Our Original Example Don’t forget the constant C!

6 Find the Antiderivative:

7 Applications of Antiderivatives ›How do we find the velocity of our cars based on evidence of their acceleration?

8 Quick Physics Review

9 Applications of Antiderivatives

10 Understand-Plan-Solve

11

12

13 The rocket will be traveling at a speed of 1,200 meters per second after a minute, and it will be 9,000 meters off the surface of the Earth after 30 seconds.

14 Apply Your Knowledge

15 Debrief

16

17

18 Summary ›Find the antiderivative of a function from its derivative f(x). ›Apply antiderivatives to solve initial value problems. ›You can find this presentation on: http://jeffzheng.weebly.com ›Feel free to contact me, ask me Qs, and please leave feedback on today’s lesson!

19 Antiderivative Linearity Rules

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