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Chapter 2.4 The Chain Rule Tuesday, November 20, 2018

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1 Chapter 2.4 The Chain Rule Tuesday, November 20, 2018
4.4 Students derive derivative formulas and use them to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions. 5.0 Students know the chain rule and its proof and applications to the calculation of the derivative of a variety of composite functions. Tuesday, November 20, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

2 How far (in feet) is Kalis from when he started riding at t = 2 hours.
Chapter 2.4 The Chain Rule 4.4 Students derive derivative formulas and use them to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions. 5.0 Students know the chain rule and its proof and applications to the calculation of the derivative of a variety of composite functions. Kalis is riding his daughters pink big wheel. Kalis’ position is modeled by the given function where x(t) is measured in miles and time is measured in hours. How far (in feet) is Kalis from when he started riding at t = 2 hours. How fast is Kalis driving in feet per second at time 2 hours? Tuesday, November 20, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

3 Base is not “x” or a single variable The Chain Rule
Chapter 2.4The Chain Rule 4.4 Students derive derivative formulas and use them to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions. 5.0 Students know the chain rule and its proof and applications to the calculation of the derivative of a variety of composite functions. Base is not “x” or a single variable The Chain Rule The derivative of the base with respect to “x” The derivative of “y” with respect to the base The derivative of “y” with respect to the base Tuesday, November 20, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

4 Chapter 2.4The Chain Rule Option 1 Option 2 Tuesday, November 20, 2018
4.4 Students derive derivative formulas and use them to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions. 5.0 Students know the chain rule and its proof and applications to the calculation of the derivative of a variety of composite functions. Option 1 Option 2 Tuesday, November 20, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

5 The base will never change
Chapter 2.4The Chain Rule 4.4 Students derive derivative formulas and use them to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions. 5.0 Students know the chain rule and its proof and applications to the calculation of the derivative of a variety of composite functions. Chain the base The base will never change Tuesday, November 20, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

6 Chapter 2.4The Chain Rule dy/du du/dx Tuesday, November 20, 2018
4.4 Students derive derivative formulas and use them to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions. 5.0 Students know the chain rule and its proof and applications to the calculation of the derivative of a variety of composite functions. dy/du du/dx Tuesday, November 20, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

7 Chapter 2.4The Chain Rule product rule chain rule
4.4 Students derive derivative formulas and use them to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions. 5.0 Students know the chain rule and its proof and applications to the calculation of the derivative of a variety of composite functions. product rule chain rule Tuesday, November 20, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

8 Highlight your chains. Focus on correct notation.
Chapter 2.4The Chain Rule 4.4 Students derive derivative formulas and use them to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions. 5.0 Students know the chain rule and its proof and applications to the calculation of the derivative of a variety of composite functions. Highlight your chains. Focus on correct notation. Tuesday, November 20, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals


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