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[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
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[DOC File]AP Calculus AB Syllabus
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Definition of the Derivative. The derivative as the slope of a tangent (limit of difference quotient) The derivative as the rate of change. The derivative as a function. Differentiation Rules. Constant rule, constant multiple rule. Power rule. Sum rule, difference rule. Product rule. Quotient rule. Trigonometric rules. Chain rule. Higher order ...
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[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 ...
find derivative using limit

[DOCX File]Brandywine Heights Area School District
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Calculate the derivative at a point using the limit definition of derivative. Calculate the derivative as a function using the limit definition of derivative as a function. Calculate derivatives using the power rule. Solve problems involving linear motion (displacement, velocity, and acceleration). Derivatives by graph. Derivatives by table.
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[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 ...
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[DOC File]Average Rate of Change vs - AP Calculus AB
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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 with notation . f(x)= 2x2-4 what is f’(3) 1. F(x) = x2+1. 2. F(x ...
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[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 terms of ‘t’. 3.
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Chapter 1: Limits and Their Properties
• The derivative as: the limit of the average rate of change, an instantaneous rate of change, limit of the difference quotient, and the slope of a curve at a point • The meaning of the derivative—translating verbal descriptions into equations and vice versa • The relationship between differentiability and continuity
derivative using limit definition calculator

Derivative by limit definition calculator