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[DOCX File]Math 250 – Calculus I
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7.Use derivatives to analyze functions and their graphs. 8.Evaluate indefinite and definite integrals using various techniques of integration including substitution and integration . by parts. 9.Calculate areas between curves using definite integrals. 10.Calculate partial derivatives of functions …
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[DOC File]Section 1
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Find the partial fraction expansion of . Solution: Integration Technique Chart. 16 . Basic . Formula. u-du Substitution: Look for term to set u = to whose derivative similar to another term. Terms Multiplied No Denominators. Integration by Parts. Sine and . Cosine Integral Techniques. Trig Substitution. Partial. Fractions. Sine anc Cosine ...
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[DOC File]AP Calculus BC Syllabus
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Understand the meaning of the derivative in terms of a rate of change and local linear approximation, and use derivatives to solve a variety of problems. ... E. Inverse trig functions. Differentiation. Integration. ... Convergence of a series defined in terms of the limit of the sequence of partial …
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[DOC File]Integration by Substitution
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10.3 Integration by Partial Fractions. Learning Objectives. A student will be able to: Compute by hand the integrals of a wide variety of functions by using technique of Integration by Partial Fractions. Combine the technique of partial fractions with substitution to solve various integrals. This is the third technique that we will study.
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[DOC File]AP BC Calculus First Semester Exam Review Guide
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Derivatives of all trig functions and inverse trig functions (Appendix handout) **Implicit differentiation** Derivatives of e and ln. CHAPTER 4: 1. **Use critical points to find absolute and relative extrema and points of inflection** Justify max or min points by stating whether the graph is increasing or decreasing, 2. **Graphing using f ...
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Chapter 1: Limits and Their Properties
• Inverse trig functions and differentiation • Inverse trig functions and integration . Chapter 6: Applications of Integration (4-4.5 weeks, 1 test, daily quizzes; cumulative exam; semester final) • The integral as an accumulator of rates of change • Area of a region between two curves • Volume of a solid with known cross sections
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[DOC File]Calculus 3 Final Exam Review, Spring 2009
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Definition 3.1: Partial Derivative. The partial derivative of f(x, y) with respect to x, written as , is defined by . for any values of x and y for which the limit exists. The partial derivative of f(x, y) with respect to y, written as , is defined by . for any values of x and y for which the limit exists.
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[DOC File]Section 1
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Section 7.4: Integration of Rational Functions by Partial Fractions. SOLs: APC.13: The student will find the indefinite integral of algebraic, exponential, logarithmic, and trigonometric functions. The special integration techniques of substitution (change of variables) and integration by parts will be included.
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[DOC File]AP® Calculus AB
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H. Derivatives of Inverse Trig functions. I. Derivatives of logarithmic and exponential functions. IV. Applications of the Derivative (3 weeks) A. Extreme Values. 1. Local (relative) extrema. 2. Global (absolute) extrema. B. Using the derivative. 1. Mean Value Theorem. 2. Increasing and decreasing functions. C. Graphs of first and second ...
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Partial derivative of trig functions