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 transcript:

Antiderivatives Section 4.8

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

What is an antiderivative? ? Any others ?

Antiderivative Definition

Our Original Example Don’t forget the constant C!

Find the Antiderivative:

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

Quick Physics Review

Applications of Antiderivatives

Understand-Plan-Solve

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.

Apply Your Knowledge

Debrief

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: ›Feel free to contact me, ask me Qs, and please leave feedback on today’s lesson!

Antiderivative Linearity Rules