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

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

Applications of Derivatives Friday, February 3, 2012 MAT 121

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

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

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

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

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

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

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

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

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