First and second derivative test

• [DOC File]MAT 117 - Arizona State University

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  a) List all critical points, c, from the first derivative such that . b) For each of the values in part a, calculate . c) According to the second derivative test for extrema, what do the results mean? 6) Let f(x) = x3 + 3x2 + 3x + 3. a) List all critical points, c, from the first derivative such that . b) For each of the values in part a, calculate

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• [DOC File]GRAPHING OF FUNCTIONS USING FIRST AND SECOND …

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  3. If the second derivative f'' is positive (+) , then the function f is concave up . 4. If the second derivative f'' is negative (-) , then the function f is concave down . 5. The point x=a determines a relative maximum for function f if f is continuous at x=a , and the first derivative f' is positive (+) for xa .

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• [DOC File]The First and Second Derivative Tests

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  The first derivative test gives the correct result. Ex. Use the second derivative test to find the local extreme points of . h(x) = 2x3 − 18x. Comment: It’s important to remember that in the first derivative test we check the intervals between critical points, by evaluate f ′ at some test point in each interval.

  1st and 2nd derivative test

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• [DOC File]Extrema and the Mean Value Theorem

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  The Second Derivative Test cautions us that this may be the case since at at So now we wish to use all that we have learned from the First and Second Derivative Tests to sketch graphs of functions. The following table provides a summary of the tests and can be a useful guide in sketching graphs.

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• [DOC File]Section 1 - Radford University

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  Second Derivative Test (Test For Relative Maximum and Relative Minimum Points) Let f be a function where x = c is a critical point where . 1. If , then is a relative minimum. 2. If , then is a relative maximum. 3. If or is undefined, the test fails – use the 1st derivative test. Procedure For Graphing Functions Using Derivatives. Given a ...

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• [DOC File]First and Second Derivative Tests Quiz

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  First and Second Derivative Tests Quiz Author: mturner Last modified by: Derry Township SD Derry Township SD Created Date: 11/7/2006 2:08:00 PM Company: DTSD Other titles: First and Second Derivative Tests Quiz

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