1. The Chain Rule
Section 3.4

3. Example 1 – Chain Rule Find F ‘ (x) if F (x) =
Using Equation Chain Rule:
If we let u = x2 + 1 and y = , then

4. Example 2 – Differentiate

5. Example 3 – Chain Rule Differentiate y = (x3 – 1)100. Solution:
Taking u = g(x) = x3 – 1 and n = 100, we have
= (x3 – 1)100
= 100(x3 – 1) (x3 – 1)
= 100(x3 – 1)99  3x2
= 300x2(x3 – 1)99

6. Example 4 – Chain Rule

7. Example 5 – Chain Rule

8. Example 6 – Chain Rule

9. Example 6 – Chain Rule

10. Example 7 – Chain Rule

11. Example 8 – Chain Rule

12. 3.4 The Chain Rule Summarize Notes Read section 3.4 Homework
Pg.205 #1,7,13,15,17,21,23,27,31,33,47,51,55,79