1. Applied Calculus (MAT 121) Dr. Day Monday Feb 6, 2012
Questions from Past Assignments?
Composite Functions (2.2) and Their Derivatives (3.3)
Assignments
Friday, February 3, 2012
MAT 121

2. Review: Limits and Derivatives
What do we mean when we say we are “determining the limit of a function at a point?”
Show a graphical and a numerical example to illustrate this.
Write a sentence or two to tie it all together.
What is our purpose in determining the derivative of a function? Why bother?
State the formal definition for the derivative of a function f(x).
Friday, February 3, 2012
MAT 121

3. Applications of Derivatives
Friday, February 3, 2012
MAT 121

4. Derivatives of Products (3.2)
If y = h(x) = f(x)g(x), then y’ = h’(x) = f’(x)g(x) + f(x)g’(x) The derivative of a product of two functions is: The derivative of the first times the second plus the first times the derivative of the second.
Friday, February 3, 2012
MAT 121

5. Derivatives of Quotients (3.2)
If: Then: The derivative of a quotient of two functions is: The derivative of the top times the bottom minus the top times the derivative of the bottom all over the bottom squared.
Friday, February 3, 2012
MAT 121

6. Derivatives of Products and Quotients (3.2)
Friday, February 3, 2012
MAT 121

7. Composite Functions (2.2)
Friday, February 3, 2012
MAT 121

8. Composite Functions (2.2)
Friday, February 3, 2012
MAT 121

9. Derivatives of Composite Functions (2.2,3.3)
Friday, February 3, 2012
MAT 121

10. Derivatives of Composite Functions (2.2,3.3)
Friday, February 3, 2012
MAT 121

11. Derivatives of Composite Functions (3.3)
Friday, February 3, 2012
MAT 121

12. Assignments WebAssign 3.2 tonight 2.2 and 3.3 due Wednesday night
Friday, February 3, 2012
MAT 121