1st and 2nd derivative test
[DOC File]GRAPHING OF FUNCTIONS USING FIRST AND SECOND …
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THE SECOND DERIVATIVE TEST FOR EXTREMA (This can be used in place of statements 5. and 6.) : Assume that y=f(x) is a twice-differentiable function with f'(c)=0 . a.) If f''(c)0 then f has a relative minimum value at x=c . These are the directions for problems 1 through 10.
[DOCX File]VOCABULARY: derivative, first derivative, second ...
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Feb 12, 2011 · VOCABULARY: derivative, first derivative, second derivative, product rule, quotient rule, chain rule STUDENT OBJECTIVES ( COMPETENCIES /OUTCOMES ): Extend algebraic properties and processes to quadratic, exponential, and polynomial expressions and equations and to matrices, and apply them to solve real world problems.
[DOCX File]FAIRLESS ELEMENTARY SCHOOL LESSON PLAN
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How to use the Mean-Value Theorem and Extreme Value Theorem, How to use the 1st and 2nd Derivative Test, How to sketch curves based on known properties of derivatives, How to make inferences regarding increase and decrease and concavity of curve
[DOC File]Chapter 2, sections 2
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3.2 –Extrema and the 1st Derivative Test. know what extrema are (both relative and absolute) be able to find them using the first derivative test. 3.3 –Concavity and the 2nd Derivative Test. understand what the second derivative tells us about the original function . know what “concavity” is and what “inflection points” are & how to ...
[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 …
[DOC File]AAA #2 & #3 ( 2 sessions)
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- 1st Derivative Test for Monotonic Functions - 1st Derivative Test for Local Extrema 4.4 Concavity and Curve Sketching - Concavity: definition, 2nd derivative test - Points of inflection - 2nd Derivative Test for Local Extrema - Strategy for Graphing y=f(x) - Learning about functions from derivatives. 4.5 Applied Optimization Problems
[DOC File]Section 1 - Radford University
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Hence, the 2nd derivative test says (8, 4) is a local maximum but is inconclusive for the point (0, 0). So we need more information. We get it by using the 1st derivative test by testing the sign of the 1st derivative to the left and right of each critical number (which of course are the same as the x coordinates of the local maximum and ...
[DOC File]Math 202 – Test 2 Review
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Be able to interpret a 2nd degree derivative in a practical situation. 5. Be able to work with such derivatives in practical situations such as those presented in the text. Chapter 13: 1. Understand and be able to work with the concepts of an increasing or decreasing function. Recognize that a function is increasing when its 1st derivative is ...
[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
[DOC File]The First and Second Derivative Tests
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If the second derivative test fails, then the first derivative test must be used to classify the point in question. Ex. f (x) = x2 has a local minimum at x = 0. Ex. f (x) = x4 has a local minimum at x = 0. But the second derivative test would fail for this function, because f ″(0) = 0. The first derivative test …
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