1. Implicit Differentiation
Chapter 4
More Derivatives
Implicit Differentiation

2. Quick Review

3. Quick Review

4. Quick Review

5. Quick Review Solutions

6. Quick Review Solutions

7. Quick Review Solutions

8. What you’ll learn about
Implicitly defined functions
Using the Chain Rule to find derivatives of functions defined implicitly
Tangent and normal lines to implicitly defined curves
Finding higher order derivatives of implicitly defined functions
Extending the Power Rule from integer powers to rational powers
… and why
Implicit differentiation allows us to find derivatives of
functions that are not defined or written explicitly as a
function of a single variable.

9. Implicitly Defined Functions

10. Example 1

11. Implicitly Defined Functions

12. Example Implicitly Defined Functions

13. Implicit Differentiation Process

14. Example Lenses, Tangents and Normal Lines

15. Example Lenses, Tangents and Normal Lines

16. Example Derivatives of a Higher Order

17. Quick Checkpoint: Chain Rule & Implicit Differentiation

18. Quick Quiz Sections 4.1 – 4.2

19. Quick Quiz Sections 4.1 – 4.2

20. Quick Quiz Sections 4.1 – 4.2