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AP CALCULUS Flashcards

This is a study set of academic vocabulary for APC Unit 2

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6583178952DerivativeA function which gives the slope of a curve; that is, the slope of the line tangent to a function.0
6583178953Implicit differentiationThe process of finding the derivative of a dependent variable in an implicit function by differentiating each term separately, by expressing the derivative of the dependent variable as a symbol, and by solving the resulting expression for the symbol.1
6583178954tangentA straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.2
6583178955SecantA secant is a line that intersects a circle at two points.3
6583178956VelocityDescribes the motion of an object. The derivative of a position function s(t).4
6583178957accelerationDescribes the motion of an object. The derivative of a velocity function v(t) or the double derivative of a position function s(t).5
6583178958positionGiven as a function of x with respect to time, x(t). An object's change in position with respect to time is known as its displacement.6
6583178959trigonometric derivativeFinding the derivative of a function, or its rate of change with respect to a variable. Common functions include sin(x), cos(x) and tan(x).7
6583178960ContinuousA function that is continuous at every point of the interval .8
6583178961DifferentiableA function of one real variable is a function whose derivative exists at each point in its domain.9

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