1. Used for composite functions
The Chain Rule
Used for composite functions

2. How do we . . .
Find the derivative of a function with the following format:

3. This is a composite function
It can be thought of as being composed of two functions:

4. To differentiate:
The following scheme can be used:

5. In our example:

6. A few examples:
Find the derivatives:

7. Taking it further: Find the equation of the tangent line at .
We need to find an equation in the form
The slope will be found using the derivative.

8. Taking it further:
Find the equation of the tangent line at

9. Find a point on the line. Find the equation of the tangent line at .
Point on line:
y-value

10. Taking it further: Find the equation of the tangent line at .
Slope of line – take derivative:

11. Find the equation.
Format: