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Calculus First Semester

Horizontales
As x gets larger, y gets larger
The point where the function changes concavity is the ________ point
A rule used for finding the derivative of a composition of functions
A function that is its own derivative
The process of finding the largest or smallest value of a function
When the second derivative is negative, the original function is concave ________.
This derivative can give you information about where the original function is increasing or decreasing
The largest y-value in the neighborhood of a given x-value
Slope of the tangent line to a curve at a given point
Verticales
The derivative of the position function
Line perpendicular to a curve at a given point
If the function value equals the limits value at a given point, the function is _________.
An application of calculus that relates quantities as time passes
One of the two men who are credited with inventing calculus
In order to find this function, switch the x and y and then solve back for y.
The y value a function approaches as it gets closer to a given x-value