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## Section 3.3: Rates of Change

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**Section 3.3: Rates of Change**• HWK: 1-15, 27,29, pp. 173-175.**We will be dealing with two main concepts:**• Average Rate of Change • Instantaneous Rate of Change**Average rate of change**• Given a function y = f(x) and two values of x (say, a and b), the average rate of change is the quotient (f(b) – f(a))/b-a • That quantity is also sometimes called the difference quotient.**Examples:**• Average Speed. • Slope of a secant line.**Instantaneous Rate of Change**• The instantaneous rate of change at x = a is the expected value of the difference quotient (f(a+h) – f(a))/h as h goes to zero.**Examples**• Instantaneous Velocity • Slope of the tangent line.**Examples**• Example 3 (page 170) • Example 4 (page 171)