Limit definition derivative calculator
[DOC File]Section 1
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Understand the derivative as the slope of the tangent and as a rate of change. Vocabulary: None new. Key Concept: The derivative of a function f(x) is another function f’(x) whose value at a number a is . if the limit exists. Example: Use the definition to find. a. f’(1) if b. f’(x) if f(x) = 2x3 – x2 + 3x - 1 c. f’(x) if
[DOC File]Calculus I
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Use the definition of limit to prove that limx(2 3x - 2 = 4. ... Use the definition of derivative to find the derivative of f(x) = x2 - x. ... Find any critical numbers for f(x). Exact answers! If you can't find exact answers, calculator approximations will be accepted but not for full credit. c.) Find all local extrema. 9.) Suppose f(x) = 2x ...
[DOC File]EXTRA CREDIT: +5 points
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The Derivative – Day 1 WKST Name: The Formal Limit Definition of the Derivative. Graphical and Numerical Understanding of the Derivative as a Slope and Rate of Change. 1. Find the derivative, , of 2. Verify the derivative, , of algebraically using the limit definition. in #1 by using the short-cut formula.
[DOC File]Definition of Derivative Worksheet
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Definition of Derivative Worksheet. Use the definition of a derivative to find the derivative of each function at the point indicated. 1. y = 2x2 – 5x – 4 at x = 5 2. y = at x = 3. Use our same limit of slopes definition to find the generalized derivative for the function. Remember that means your answer will be in …
[DOC File]AP Calculus AB
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Limit definition of the derivative of a function. Finding the equation of a tangent line ... the slopes of a sine curve at several points and plotting these slopes on the calculators to obtain a graph of the derivative of sine, students arrive at the conclusion that the derivative of sine is cosine. ... A Riemann Sum calculator program is used ...
[DOC File]Average Rate of Change vs
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Show that what you find is the equation of the slope (or the derivative) do algebraically then show on a calculator- that the derivative is a graph of the slope of the function, read as a point (3,2) at 3 the slope is 2. Use the limit process to find the derivative- be careful …
[DOC File]CALCULUS BC
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We will be using the TI-89 graphing calculator in Calculus. A TI-89 costs around $150. The price varies some so you should compare the prices at various places before purchasing one.
[DOC File]Math 2431 – Calculus I
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NO calculator may be used on this part. 1. (5 points). Use the limit definition of derivative to find for . 2. (10 points). Find the following limits, if they exist: a. b. c. Part 2. Directions: Show all work – correct answers with only partial work may receive only partial credit. You may use a calculator on this part – explain how you ...
Syllabus for AP Calculus AB
Students develop two limit definitions for the derivative of f(x) at . Derivative as a Function. Students discover derivative formulas using their limit definitions for a derivative. They also sketch approximate graphs for derivatives from a graph of the original function. Differentiation Rules (~ 20 days) Derivative Rules for Basic Functions.
[DOC File]AP Calculus AB
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Unit 3 The Derivative (5 weeks) A. The definition of the derivative as a limit of a difference. quotient. 1. The derivative notation. 2. Interpreting the derivative as the slope of a tangent . line. 3. The derivative as an approximate rate of change. when working with discrete data. B. The Derivative as a function. 1.
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