Integral and derivative rules
[DOC File]Lecture Notes on Calculus - OoCities
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2.Examples of derivatives rules. 3.Maxima and minima. 4.Differential equations. a)numerical solutions. 5.Integration. 6.Examples of integration. LECTURE 1. 1. The Derivative Algorithm. The derivative algorithm is a formulation that answers the question, what is the instantaneous rate of change of a dependent variable –y- with respect to the ...
[DOC File]116Deriv review95 - Saint Mary's College
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The “approximate and then take a limit” approach used in the definition of the derivative will reappear this semester in the definition of the integral. I. Derivative Rules. Rules for finding the derivative from a formula:(u and v represent any functions of the variable x , or any expressions involving the variable x) A.)
[DOC File]AP Calculus BC
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Feb 10, 2011 · Definition of the Derivative including various notations. Existence of the Derivative. Rules for Differentiation. Chain Rule. Implicit Differentiation. Derivatives of Exponential and Logarithmic Functions. Derivatives of Trigonometric and Inverse trigonometric Functions. Chapter 4: Applications of the Derivative (approx 15 days)
[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 ...
[DOC File]Calculus I – Math 160
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The Product and Quotient Rules and Higher Order Derivatives . The Chain Rule. Implicit Differentiation. Derivatives of Inverse Functions Applications of Differentiation 3.5 weeks Extrema on an interval. Rolle's Theorem and the Mean Value Theorem. Increasing and Decreasing Functions and the First Derivative Test. Concavity and the Second ...
[DOC File]Simple Rules for Differentiation
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In this form, the symbol is the integral sign; f(x) is the integrand; x is the variable of integration; and C is the constant of integration. Several standard and important integrals come from some of the simple rules for differentiation. Important Integrals. Some general rules about integrals arise from general rules …
[DOC File]Calculus II - Illinois State University
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Example #1: Determine the derivative of . We use derivative rules we already know—in this case, the chain rule—as well as the new information about derivatives of inverse trig functions: Example 2: Determine the derivative of . Example 3: Determine the derivative of . …
[DOCX File]MATH 201 – CALCULUS I
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Differentiate any algebraic or trigonometric function using the rules of differentiation, including implicit differentiation, and write answers in simplified form. ... Be able to evaluate constants of integration for the indefinite integral. ... First Derivative Test, Second Derivative. …
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