Term
What is a Derivative?  

Definition
Slope  Instantaneous Rate of Change  


Term
What is the Derivative of this problem? Ax^B  

Definition


Term
How do you find Average Rate of Change?  

Definition
f(x1)f(x2)/x1x2  


Term
When is Slope Undefined?  

Definition
When a line is vertical, its slope is undefined  


Term
What is the Slope of a Horizontal Line?  

Definition


Term
Point Slope Formula  

Definition


Term
How do you find the marginal version of a function?  

Definition
Take the Derivative of the function  


Term
What are the critical points of a function?  

Definition
Every maximum, minimum, and where a function breaks  


Term
What are the critical points of a function?  

Definition
Every maximum, minimum, and where a function breaks  


Term
How do you calculate slope?  

Definition
Rise/Run  y2y1/x2x1  


Term
What is the point of a function that crosses the yaxis?  

Definition
The yintercept  


Term
At the yintercept of a function, what does x equal?  

Definition


Term
What is the point of a function that crosses the xaxis?  

Definition
The xintercept  


Term
At the xintercept of a function, what does y equal?  

Definition


Term
What is the Integral Notation Used for a number not included?  

Definition
An open circle on a numberline  Parenthesis when writing the point  Parenthesis on a number line  


Term
What is the Integral Notation Used for a number is included?  

Definition
A closed circle on a numberline  Bracket when writing the point  Bracket on a number line  


Term
When the Slope of the function is positive, what does that mean about the derivative of the function?  

Definition
The derivative of the function is positive  


Term
When the Slope of the function is negative, what does that mean about the derivative of the function?  

Definition
The derivative of the function is negative  


Term
When a piece of a function has a slope of zero aka is a horizontal line, it is considered a what?  

Definition


Term
How do you do a first derivative test (find the behavior of a function analytically without plotting it)?  

Definition
1.) Take the Derivative of the Function  2.) Set the Derivative Function to Equal Zero and solve it for "x" 2a.) Factor it further to where you have multiple values of "x" or 2b.) Use the Quadratic Formula to Obtain Multiple Values For "x"  3.) Use the multiple values of "x" you have found, and set a test value between infinity and your first value, your first value and your second value, and your second value and positive infinity. Represent this information as a chart.  4.) Substitute your test values into the derivative in place of "x" and mark whether the solution to each value is positive or negative and whether the function is increasing or decreasing on your chart  5.) Your xvalues are the critical points, mark whether they are maximums or minimums depending on whether or not the slope right before the function is positive or negative  


Term

Definition
A'(x)B(x)+B'(x)A(x)  


Term
(A(x)/B(x))'=  

Definition
A'(x)B(x)B'(x)A(x)/B(x)^2  


Term
What is Quadratic Formula?  

Definition
x= (b(+or)(sqrt(b^24ac)))/2a  


Term
When given the "x" value for a function, how can you solve for the "y" value of the function?  

Definition
Plug the "x" value into the function and solve for the "y" value of the function  


Term

Definition
(x2)(x+2) Because it has to generate two xequations made up of factors of "4" that when added together equal zero  

