'Composite function' presentation slideshows

1.18k views • 101 slides

COLLEGE ALGEBRA

COLLEGE ALGEBRA. LIAL HORNSBY SCHNEIDER. Function Operations and Composition. 2.8. Arithmetic Operations on Functions The Difference Quotient Composition of Functions and Domain. Operations of Functions.

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Get Started

Higher Maths. Revision Notes. Get Started. Functions and Graphs. goodbye. Functions and graphs You should know the meaning of the terms domain and range of a function;. Recognise the probable form of a function from its graph. f : x ? sin ( ax + b ),

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Chain Rule :

Chain Rule :. Used to find the derivative of a composite function. Chain Rule :. Used to find the derivative of a composite function. Chain Rule :. Used to find the derivative of a composite function. Chain Rule :. Used to find the derivative of a composite function. Chain Rule :.

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COMBINING FUNCTIONS

COMBINING FUNCTIONS. COMBINING FUNCTIONS. SOME FUNCTION RULES : SUM DIFFERENCE PRODUCT QUOTIENT . COMBINING FUNCTIONS. EXAMPLE # 1 : Find . COMBINING FUNCTIONS. EXAMPLE # 1 : Find . COMBINING FUNCTIONS. EXAMPLE # 1 : Find . EXAMPLE # 2 : Find .

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1.7 Combinations of Functions; Composite Functions

1.7 Combinations of Functions; Composite Functions. Objectives Find the domain of a function Combine functions using algebra. Form composite functions. Determine domains for composite functions.

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The Inverse of Trigonometric Functions

The Inverse of Trigonometric Functions. Find the Exact Value of all Trigonometric Functions Find the Approximate Value of the Inverse of Trigonometric Functions. Review. Chapter 4 We discussed inverse functions and we noted that if a function is one to one it will have an inverse function

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Integration by Substitution

Integration by Substitution. Antidifferentiation of a Composite Function. Antidifferentiation of a Composite Function.

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Section 5.1 Composite Functions

Section 5.1 Composite Functions.

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Composite Functions

Composite Functions. Form a Composite Functions and its Domain. Composite Function. Given two functions f and g, the composite function, denoted by f ? g (read as f composed with g) is defined by (f ? g)(x) = f(g(x))

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Formal Definition of Antiderivative and Indefinite Integral

Formal Definition of Antiderivative and Indefinite Integral. Lesson 5-3. Back in chapter 1 we were given an outline of the topics of Calculus: Limits Derivatives One Type of Integral (definite integral) the Other Integral. Definite Integral .

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Integration by Substitution

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6034 Fundamental Theorem of Calculus (Part 2)

6034 Fundamental Theorem of Calculus (Part 2). AB CALCULUS. The Indefinite Integral (Antiderivative) finds a Family of Functions whose derivative is given. Given an Initial Condition we find the Particular Function. The Definite Integral as a Particular Function :.

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Functions & Function Composition

Functions & Function Composition. Amanda Bateman. Def: A function is any process that assigns a single value of y to each number of x. Because x determines the value of y: y is the dependent variable x is the independent variable

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11.2 Properties of Power Series

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Continuity Theorems

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Composite Functions

Composite Functions. What Are They?. Composite functions are functions that are formed from two functions f ( x ) and g ( x ) in which the output or result of one of the functions is used as the input to the other function. Notationally we express composite functions as .

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The substitution Rule

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Substitution

Substitution. Antidifferntiation of a Composite Function. If u = g(x) is differentiable over an interval I and f is continuous on I then, This is the reverse of the chain rule. Example. Example. Example. Example. Practice. 1) 2) 3) .

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7.7 Operations on Functions

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