## Calculus I

I Beyond the change in direction for mathematics, the invention of calculus represents a milestone of human thought. I This new mathematics would fuel a scientiﬁc, and then an

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## 3.4 Derivatives as Rates of Change

The rate of change of the oil film is given by the derivative dA/dt, where A = πr 2 Differentiate both sides of the area equation using the chain rule. dA/dt = d/dt (πr 2 )=2πr (dr/dt) It is given dr/dt = 1.2 meters/minute. Substitute

323+ Math Specialists
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78217+ Clients  ## Lecture 6 : Derivatives and Rates of Change

Problem Set: Derivatives as Rates of Change For the following exercises (1-3), the given functions represent the position of a particle traveling along a horizontal line. Find the velocity and