Warm Up
Turn in chain rule HW
Implicit Differentiation – 4.2
Goal We will find the derivatives of functions that are not defined in a single variable.
Overview
How to do it Step 1: Differentiate both sides with respect to x. (include dx/dx whenever you differentiate x and dy/dx when you differentiate y) Step 2: Solve for dy/dx
Example
Example 2 : using product rule
Example
You try!
Example: quotient rule
Remember Remember dy/dx is the same as y’ so if it is easier for you to use y’ you can do that.
Example
Solution
Solution Continued
Done! You survived Implicit Differentiation!