'General power rule' presentation slideshows

Basic Rules of Differentiation The Product and Quotient Rules The Chain Rule

3. Basic Rules of Differentiation The Product and Quotient Rules The Chain Rule Marginal Functions in Economics Higher Order Derivatives. Differentiation. 3.1. Basic Rules of Differentiation. Derivative of a Constant The Power Rule Derivative of a Constant Multiple Function

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Basic Rules of Differentiation The Product and Quotient Rules The Chain Rule

3. Basic Rules of Differentiation The Product and Quotient Rules The Chain Rule Marginal Functions in Economics Higher Order Derivatives. Differentiation. 3.1. Basic Rules of Differentiation. Derivative of a Constant The Power Rule Derivative of a Constant Multiple Function

1.71k views • 111 slides

The Chain Rule

The Chain Rule. Chapter 3.4. The Chain Rule. The Chain Rule might perhaps be the most important of the differentiation rules It tells us how to differentiation a function within a function That is, it tells us how to differentiate a composition of functions

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CHAPTER 4 SECTION 4.5 INTEGRATION BY SUBSTITUTION

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Aim: What is Integration by Substitution?

Aim: What is Integration by Substitution?. Do Now:. Chain Rule. If y = f ( u ) is a differentiable function of u and u = g ( x ) is a differentiable function of x , then y = f ( g ( x )) is a differentiable function of x and. or, equivalently,.

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4-5 Integration by Substitution

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The Chain Rule

The Chain Rule. Section 2.4. After this lesson, you should be able to:. Find the derivative of a composite function using the Chain Rule. Find the derivative of a function using the General Power Rule. Simplify the derivative using algebra.

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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

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Substitution

Substitution. Lesson 7.2. Review. Recall the chain rule for derivatives We can use the concept in reverse To find the antiderivatives or integrals of complicated formulas We look for integrands that fit the right side of the chain rule. Strategy.

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Integration by Substitution and the General Power Rule

Integration by Substitution and the General Power Rule. 1. Find the indefinite integral. (Similar to p.329 #10-34). 2. Find the indefinite integral. (Similar to p.329 #10-34). 3. Find the indefinite integral. (Similar to p.329 #10-34).

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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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Chapter 4 Additional Derivative Topics

Chapter 4 Additional Derivative Topics. Section 4 The Chain Rule. Learning Objectives for Section 4.4 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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Learning Objectives for Section 11.4 The Chain Rule

Learning Objectives for Section 11.4 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. The student will be able to apply the chain rule. Composite Functions.

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2.5 Chain Rule

2.5 Chain Rule . Calculus 10/16 . Warm-up. Rewrite the following expressions with rational exponents: 2. 3. 2.5 The Chain Rule. The Chain Rule. Rewrite the functions, then use the chain rule:. A) B). General Power Rule :. Find the derivative of:.

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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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Chapter 3 Additional Derivative Topics

Chapter 3 Additional Derivative Topics. Section R Review. Chapter 3 Review Important Terms, Symbols, Concepts. 3.1 The Constant e and Continuous Compound Interest The number e is defined as either one of the limits

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