1. Identify types of numbers
2. Determine if given numbers are greater than, less than, or equal
other given numbers.
3. Interpret set-builder notation
4. Determine absolute values.
Determine left- and right-hand limits of functions.
Determine if a limit of a function exists as x approaches a real number a.
Reading the table below from left to right, we see that as the v
Rates of Change and
Determine the average rate of change.
Find the instantaneous rate of change.
Interpret the graph of a function.
The Greek capital letter delta ( ) is used in calcul
Definition of the
Use the Three-Step Method to find a derivative.
Determine if a function is or is not differentiable.
Find derivatives of functions by using the Power Rule.
Apply the Constant Times a Func
Product and Quotient
Use the Product Rule, and its various forms, to differentiate a function.
Find the derivative of a rational function using the Quotient Rule.
Now, consider the function
Calculate marginal cost, marginal revenue, marginal profit, and marginal
From previous discussions
C (x) represents the total cost of producing x items
R (x) represents the tota
The Chain Rule and
the General Power
Use the Chain Rule to find the derivative of a function.
Use the General Power Rule to find the derivative of a function.
Apply several rules in combination to find the derivative of a complex
Minimize inventory costs of a business.
Determine the price a company should charge for their products in order to
Find a companys maximum profit assuming the demand function is linear.
Define exponential functions.
Discuss characteristics of exponential functions and their graphs.
Suppose you buy a new car for $15,000 and you know, from past records,
that this car will depreciate