1st and second 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.
[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 …
[DOCX File]January 30, 2012
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master pacing math 1610 1920 . all practice test must be completred prior to taking the test
[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]Math 202 – Test 2 Review
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If the second derivative is negative, the graph is concave down at that point and the point is a maximum. If the second derivative is positive, the graph is concave up at that point and the point is a minimum. Recognize that an inflection point occurs where a function changes from concave up to concave down (or vice versa). Such points . may
[DOCX File]Corning Community College Ace Calculus
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Journal 5: Analyze Graphically First and Second Derivative Tests (3.3-3.4) Journal 6: Explain Integrating Absolute Value (4.4) Practice Finals: Practice Final A . Practice Final B . Practice Final C . ... 1st Derivative Test. 3.3 Day 2. 3.4 Day 1 Concavity and 2nd Derivative Test. 3.4 Day 2. 3.5 Day 1 Limits at Infinity. 3.6 Day 1 A Summary of ...
[DOC File]AP® Calculus AB - Mrs. Gorham's Math Site
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B. Using the derivative. 1. Mean Value Theorem. 2. Increasing and decreasing functions. C. Graphs of first and second derivative. 1. Critical values. 2. First derivative test for extrema. 3. Points of inflection. 4. Second derivative test for extrema and concavity. D. Optimization problems. E. Linearization and Newton’s Method. F. Related Rates
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2.3 Increasing, Decreasing, and 1st Derivative Test . 2.4 Concavity and the Second Derivative Test . 2.5 Curve Sketching . 2.5B Summary Sheet . 2.6 Optimization ...
[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]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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