Grade 12 AP Calculus MCV 4 UE Chapter

Grade 12 (AP Calculus -MCV 4 UE) Chapter 3: Derivatives of Composite Functions (Chain Rule) Mr. Choi © 2019 E. Choi – MCV 4 UE - All Rights Reserved

Derivatives of Composite Functions (Chain Rules) © 2019 E. Choi – MCV 4 UE - All Rights Reserved

Example 1: Using the Chain Rule Use the Chain rule to differentiate and simplify if Derivatives of Composite Functions (Chain Rules) © 2019 E. Choi – MCV 4 UE - All Rights Reserved

Example 2: Applying the Chain Rule using Leibniz notation If Derivatives of Composite Functions (Chain Rules) © 2019 E. Choi – MCV 4 UE - All Rights Reserved

Example 3: Applying the Chain Rule with other derivative rules Differentiate Derivatives of Composite Functions (Chain Rules) © 2019 E. Choi – MCV 4 UE - All Rights Reserved

Example 3: Applying the Chain Rule with other derivative rules Differentiate Derivatives of Composite Functions (Chain Rules) © 2019 E. Choi – MCV 4 UE - All Rights Reserved

Example 4: Equation of Tangent Line Find the equation of the tangent at the point (2, 1) for The slope of the tangent to the graph of f at any point is given by f ’(x). At x = 2, Derivatives of Composite Functions (Chain Rules) © 2019 E. Choi – MCV 4 UE - All Rights Reserved

Homework Textbook: AP: (Save for Chain Rule 2) Cal & Vectors P. 105 #1 bdef, 4, 5, 7 – 17 Derivatives of Composite Functions (Chain Rules) © 2019 E. Choi – MCV 4 UE - All Rights Reserved

End of lesson Derivatives of Composite Functions (Chain Rules) © 2019 E. Choi – MCV 4 UE - All Rights Reserved