General Calculus Final Exam Vocabulary Review
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11 terms
Terms | Definitions |
|---|---|
Limit | The height that a function is approaching as x approaches a given value. |
Derivative | Slope of a curve or slope of a tangent line. |
Integral | Calculated by finding the antiderivative of a function. |
Velocity | The first derivative of the position function. It is used to determine how fast and in what direction an object is traveling. |
Position Function | The function which can be used to find where an object is located at a given time |
Acceleration | The second derivative of the position function. It describes how the rate of change of the velocity. |
First Derivative Test | Used to determine where a functions graph is increasing or decreasing. |
Second Derivative Test | Used to determine on what intervals a function has minimum and maximum values |
Concave Up | Intervals in which the second derivative is positive |
Concave Down | Intervals on which the second derivative is negative |
Point of Inflection | A point on the graph of a function at which the graph changes concavity. |
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