'Composite functions' presentation slideshows

975 views • 54 slides

The Chain Rule

The Chain Rule. Mr. Miehl miehlm@tesd.net. Objective. To use the chain rule for differentiation. The Chain Rule. The Chain Rule is a technique for differentiating composite functions . Composite functions are made up of layers of functions inside of functions. The Chain Rule.

443 views • 34 slides

DMSO Workshop on Composable M&S 7-9-2002 Two Aspects of Composability: Lexicon and Theory Mikel D. Petty, Ph.D., Chi

DMSO Workshop on Composable M&S 7-9-2002 Two Aspects of Composability: Lexicon and Theory Mikel D. Petty, Ph.D., Chief Scientist Virginia Modeling, Analysis and Simulation Center Old Dominion University mpetty@vmasc.odu.edu 757-686-6210. Presentation outline ? Composability lexicon

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AP CALCULUS

1002 - Limits 1: Local Behavior. AP CALCULUS. REVIEW:. ALGEBRA is a ________________________ machine that ___________________ a function ___________ a point. CALCULUS is a ________________________ machine that ___________________________ a function ___________ a point. Limits Review:

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Section 5.1 Composite Functions

Section 5.1 Composite Functions.

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Further Differentiation and Integration

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Precalculus

Precalculus. Chap 1.8 Combination and composite functions. Arithmetic Combination of Functions. Here is an arithmetic combination of numbers :. Here is an arithmetic combination of functions :. Arithmetic Combination of Functions.

683 views • 14 slides

The Chain Rule

The Chain Rule. Working on the Chain Rule. Review of Derivative Rules. Using Limits:. Power Rule. If f(x) =. Product Rule. Quotient Rule. Why use the chain rule?. The previous rules work well to take derivatives of functions such as

968 views • 14 slides

New Unit: Derivative Tools

New Unit: Derivative Tools. In this unit you will develop tools to better understand curves. You will learn to distinguish between maximums, minimums, and points of inflection. You will also learn to differentiate more complex functions such as composites and trigonometric reciprocals.

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Chapter 3 Additional Derivative Topics

Chapter 3 Additional Derivative Topics. Section 4 The Chain Rule. Learning Objectives for Section 3.4 The Chain Rule. The student will be able to form the composition of two functions. The student will be able to apply the general power rule.

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SECTION 4.1

SECTION 4.1. COMPOSITE FUNCTIONS. COMPOSITION:. A pit crew for a race car driver had a formula for the distance the car had traveled as a function of time: d(t). And they had a formula for the amount of fuel left in the car as a function of the distance traveled: f(d).

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GBK Precalculus Jordan Johnson

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Functions and Their Properties

Functions and Their Properties. Def: Function, Domain and Range

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Applied Calculus (MAT 121) Dr. Day Wednesday Feb 8, 2012

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The Algebra of Functions

The Algebra of Functions. Functions can be combined by the usual operations of addition, subtraction, multiplication, and division. Note that the domain of the combined function may not be the same as that of either of the original functions.

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4.5 Integration by substitution

4.5 Integration by substitution. Use pattern recognition to find an indefinite integral. Use a change of variables to find an indefinite integral. Use the general power rule for integration to find an indefinite integral. Use a change of variables to evaluate a definite integral.

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Integration 2

Integration 2. What is to be learned?. How to integrate composite functions. Fast Tracking. y = (7x + 2) 5. let y= u 5. where u = 7x + 2. dy / du. = 5u 4. du / dx. = 7. dy / dx. =. dy / du. du / dx. = 5u 4. 7. dy / dx. Add 1 to power. =5(7x + 2) 4. 7. Fast Tracking.

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Combinations of Functions; Composite Functions

Combinations of Functions; Composite Functions. Objectives. Students will be able to add, subtract, multiply and divide functions. Students will be able to find the composition of one function with another function.

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