Functions and their derivative graphs
[DOC File]Equations and Graphs
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Sketch graphs of basic functions. Sketch variations of basic functions using transformations. Compose functions. Introduction. In our last lesson we examined a variety of mathematical equations that expressed mathematical relationships. In this lesson we will focus on a particular class of relationships called functions, and examine their key ...
Math 266 Outline
Topics to be Covered Sections From Text Approximate Time Chapter 1: Functions and Graphs. Functions; Graphs and Transformations; Linear, Quadratic, Polynomial, Rational, Exponential, Logarithmic Functions Section 1.1 – 1.6. Students are expected to know how to graph the basic functions listed to the left by hand.
[DOC File]Relationship between the Derivative and the Integral and ...
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3. Discuss various relationships between graphs, functions, derivatives, including: Explain what critical points are and how they are found using derivatives. Explain what knowing the signs (negative, positive, and zero) of the values of the first derivative and second derivative tell you about the original function.
[DOC File]AP Calculus AB
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The activity is designed to encourage communication between students as they compare and contrast the different functions and their derivatives. 4. F, F’, F” Around the World Game- Each desk has a set of cards relating to the First Derivative Test, Test for Concavity, and the Second Derivative Test.
[DOC File]AP © Calculus BC
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Functions, a Precalculus Review (14 days) Functions, in general . Graphs of functions with and without graphing calculators. describing extrema, concavity, increasing/decreasing. Use of machine graphics . Elementary functions . polynomial, rational, trigonometric, exponential, and logarithmic. Unit 2: Derivatives, Continuing Development of ...
[DOCX File]I. Functions, Graphs, and Limits
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A. Analysis of Graphs. With the aid of technology, graphs of functions are often easy to produce. The emphasis is on the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. B. Limits of Functions (incl. one-sided limits)
[DOC File]AP Calculus Assignments: Derivative Techniques
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12. a. Draw the graphs of and (g is called the signum function, sgn(x)). b. What is the relationship between the functions f and g above? 13. Without looking at your notes, write down the derivative formulas for the six basic trig functions. If you can’t do this, go back to problem #1. 14.
[DOCX File]VOCABULARY: derivative, first derivative, second ...
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Apr 13, 2001 · Relations and functions are mathematical relationships that can be represented and analyzed using words, tables, graphs, and equations. There are some mathematical relationships that are always true and these relationships are used as the rules of arithmetic and algebra and are useful for writing equivalent forms of expressions and solving ...
[DOC File]EXPECTATION: CONNECTING GRAPHS AND EQUATIONS OF …
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e.g. Determine the points of inflection for the two functions above. e.g. Determine the intervals where the two functions above are concave up. 2. Describe key features of a polynomial function, given information about its first and or second derivative. e.g. If g(x) (the graph below) is the derivative of f(x) , and f(0) = 0, sketch the graph ...
[DOCX File]Derivatives - Mater Academy Charter Middle / High School
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Aug 07, 2013 · The teacher and the students are going to spend two (2) weeks at the beginning of the school year to review a variety of Pre-Calculus topics, basically functions and their graphs, in order to familiarize students with the basic functions and be able to represent functions in a variety of ways (graphically, numerically, analytically, and verbally).
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