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Unformatted text preview: If the derivative represents a rate of change, the second derivative can be used to determine how fast the rate of change is increasing or decreasing. For example, if costs are rising, the first derivative will give the rate of change of the costs, and the second derivative will give the rate of change of increase or decrease. Example 1 : Find the second derivative: . 5 7 2 3 4 ) ( 2 4 5 +-+-= x x x x x f Example 2 : Find the second derivative: ( 29 . 7 3 ) ( 2--= x x f Example 3 : Find the second derivative: ( 29 4 3 8 ) ( + = x x f . Example 4 : Find the third derivative: 5 1 ) ( + = x x f . Example 5 : Find the second derivative: ) ln( ) ( 4 2 x e x x f = From this lesson you should be able to Find a higher order derivative of a function...
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- Fall '08