ECON 203 Lecture 9: Principles of Macroeconomics
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2 Oct 2018
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Find the critical values for X for the given polynomial by finding the X values where dy/dx = 0 and X where d2y/dx2 = 0. Tabulate these X values in increasing order, finding the Y value for each. Also find the sign (+ or -) of dy/dx and d2y/dx2 at these values, as needed. Using the first and second derivative tests with the information you already calculated, determine which X value represents a maximum (MAX), which a minimum (MIN), and which an inflection point (INF). Label the points as such. Attach work to convince me you carried out these calculations.
Y = 3 X2 - X3
X |
-1 |
-.667 |
-.5 |
-.333 |
-.25 |
0 |
.25 |
Y |
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dy/dx |
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d2y/dx2 |
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Label Point (MAX, MIN, INF) |