Math 5 - 4th Quarter Concepts

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1.
A point at which f has either an absolute minimum or maximum at an interval
2.
The point at which f has the greatest value on a given interval
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The point at which f has the least value on a given interval
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This is the process of finding the absolute extrema of a function with given constraints
5.
A curve described by the shape of a freely hanging chain, rope, or cable
6.
The measure of quantity changing with respect to another quantity changing, on average
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This describes the one-dimensional motion of a particle along a straight line
8.
A function that describes the position of a particle at a given time
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In rectilinear motion, it is defined by the absolute value of the derivative of the position function
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Problems that involve at least two changing quantities
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Process of differentiating an implicit equation with respect to the variable x
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Point at which f has either a relative maximum or relative minimum
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Point at which f has the least value in an open interval
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Point at which f has the greatest value in an open interval
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Values which are candidates for the function's relative extrema
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Determines whether the graph of a function at a given interval forms concave up or concave down
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Process graphing of a function featuring the shape of its curves with differentiation
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Points at which the function crosses the axis of the graph
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Graph of the function on an open interval where f' is decreasing
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Graph of the function on an open interval where f' is increasing
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A hyperbolic function analogous to the sine
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A hyperbolic function analogous to the cosine
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Defined by the value of second derivative of the position function in rectilinear motion
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Defined by the value of the derivation of the position function including the particle's direction
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States that if f has an extremum value at c, f'(c) is either 0 or does not exist