Derivative and antiderivative rules

    • [DOCX File]Basic Integration Rules - M. Olsen's Website

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      So we begin with the end, antiderivatives and Areas underneath the curves of functions. We will come to realize this very simple fact, that the area under ANY curve or function over an interval I, can be perfectly given by the difference of the functions antiderivative evaluated at the endpoints of that interval!!!!!

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    • [DOC File]MATH 115 ACTIVITY 1:

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      1. Be able to extend the derivative and antiderivative techniques to include new functions. 2. Become familiar with the derivative and antiderivative rules for sine and cosine functions: 3. Work as a team, using the team roles. CRITERIA: 1. Success in completing the exercises. 2. Success in working as a team and in filling the team roles.

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    • [DOC File]Indefinite Integrals Calculus

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      Use basic integration rules. Introduction. In this lesson we will introduce the idea of the . antiderivative. of a function and formalize as . indefinite integrals. We will derive a set of rules that will aid our computations as we solve problems. Antiderivatives. Definition. A function is called an . antiderivative. of a function if for all in ...

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    • [DOC File]116Deriv review95

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      The antiderivative rules all come from the derivative rules, but using them is not as straightforward because the chain rule kicks in from the beginning. We use to represent "the general antiderivative of f(x) with x as variable" Since "the general antiderivative" of a derivative is the origional function plus or minus any constant, we have .

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    • [DOC File]MATH 1261 Review Sheet - Georgia College & State University

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      Derivative Rules (Sum, Difference, Constant, Constant Multiple, Product, Quotient, Chain) Derivatives of power functions, trigonometric functions. Derivatives of inverse trigonometric, exponential functions, and logarithm functions. Higher Order Derivatives (First derivative, Second derivative, Third derivative, nth derivative) Implicit ...

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    • [DOC File]Chapter 3

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      antiderivative. of . Example 8.1. Given , show that its antiderivative is . Solution ( To show is the antiderivative of we need to take the derivative of . , Since , is the antiderivative of . (Recall that the derivative of a function tells us about the slope of a line tangent …

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    • [DOC File]AP © Calculus BC

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      Antiderivative graphs. Definition of derivative . Limits, algebraic and graphical approaches, importance in continuity . Indeterminate forms . One- and two-sided limits . Asymptotes. Cumulative Test I: Units 1, 2, 3 (2 day) Unit 4: Rules of Differentiation and Differential Equations (14 days) Power rule for derivatives . Rules for sums and the ...

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    • [DOC File]Section 1

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      What is a function that has a derivative of 3x²? A function is an antiderivative of f on an open interval I if F’(x) = f(x) for all x in I. There is an entire family of antiderivatives for each derivative. The general antiderivative of 3x² is x³ + c. c is called the constant of integration. We use the following symbols: Basic Rules…

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    • [DOCX File]VOCABULARY: derivative, first derivative, second ...

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      Apr 13, 2001 · 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 equations and inequalities. ... and how to find an antiderivative. ... VOCABULARY: derivative, first derivative, second derivative, product ...

      derivatives and antiderivatives list


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