Chapter 2.4 The Chain Rule Thursday, February 28, 2019 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. Thursday, February 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

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? Thursday, February 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

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 Thursday, February 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.4The Chain Rule Option 1 Option 2 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 Thursday, February 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

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 Thursday, February 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.4The Chain Rule dy/du du/dx Thursday, February 28, 2019 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 Thursday, February 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

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 Thursday, February 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

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. Thursday, February 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals