Review of continuous functions, the limit definition of the derivative, and instantaneous rate of change

Review of continuous functions, the limit definition of the derivative, and instantaneous rate of change

Determining where functions are continuous

Determining where functions are continuous

Proving a piecewise function and a polynomial are continuous

Proving a product of continuous functions is continuous and using the Intermediate Value Theorem

Proving the Product Rule and the rule for the derivative of a difference of functions

Proving the derivatives of trigonometric functions and that sine is continuous

Proving Fermat's Theorem and graphing local and absolute extrema