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2.8 The Derivative as the Slope of a Tangent

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Limits of the form below occur whenever we calculate a rate of change. Because they are so useful, they have a special name The derivative of a function f at a number a, denoted by is: if this limit exists Another useful form of the derivative occurs if we write x = a + h, then h = x – a, and h approaches zero as x approaches a

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Find the derivative of the function at the number a

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Read 2.8 p. 159 - 162 Work p. 163 #3, 13, 19, 20, 23, 28

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Concavity and Inflection Points The second derivative will show where a function is concave up or concave down. It is also used to locate inflection points.

Concavity and Inflection Points The second derivative will show where a function is concave up or concave down. It is also used to locate inflection points.

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