ECO 3401 Chapter 10.1: ECO 3401 - Module 10.1

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11 Nov 2017
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Part a: graphs and the derivative: increasing functions, function increases at an increasing rate, constant rate, or decreasing rate (pictured, decreasing functions, increasing rate, constant, decreasing rate. Part d: applying the test: locate the critical numbers for f on a number line, as well as any points where f is undefined, choose a value of x in each of the intervals from step 1. Use these values to decide (cid:449)hether f" (cid:894)x(cid:895) > 0 or f" (cid:894)x(cid:895) < 0 in that inter(cid:448)al: use the test above to decide whether f is increasing or decreasing on the. Part e: applying the test interval: (cid:4666)(cid:4667)= (cid:2871) (cid:884)(cid:2870)+(cid:883)(cid:887)+(cid:883)(cid:882, find where the function is increasing or decreasing, locate critical numbers, calculate the derivative, set this derivative equal to 0. (3x 5)(x + 3) = 0. 3x 5 = 0 or x + 3 = 0.

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