Learning Objective 2.3C

Learning Objective 2.3C Students will be able to solve problems involving related rates, optimization, and rectilinear motion.

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Now that you've mastered the art of taking a derivative, you can begin applying your skills in some applications

Essential Knowledge 2.3C1 Shows you my favorite application, the relationships between position, speed, velocity, and acceleration

Essential Knowledge 2.3C2 Shows you applications to related rates

Essential Knowledge 2.3C3 Shows you optimization

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Essential Knowledge 2.3C1 Students will know that the derivative can be used to solve rectilinear motion problems involving position, speed, velocity, and acceleration.

Essential Knowledge 2.3C2 Students will know that the derivative can be used to solve related rates problems, that is, finding a rate at which one quantity is changing by relating it to other quantities whose rates of change are known.

Essential Knowledge 2.3C3 Students will know that the derivative can be used to solve optimization problems, that is, finding a maximum or minimum value of a function over a given interval.