1.
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Define, identify, and use functional notation. (I)
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2.
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Discriminate between explicit and implicit functions and convert from
one to the other where reasonable. (I)
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3.
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Define average rate in terms of the general coordinates x and y and
calculate average rates in specific situations. (II)
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4.
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Determine a formula for the average rate, given y and a function of x.
(II)
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5.
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Determine the limit of a function. (III)
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6.
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Define the derivative of a function and determine derivatives by the
delta method. (IV)
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7.
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Define the slope of a curve at a point. (IV)
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8.
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Use various derivative formulas to determine the rates of change of
functions. (IV)
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9.
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Use implicit differentiation to find derivatives. (IV)
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10.
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Use differentials to approximate increments. (IV)
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11.
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Find second or higher order derivatives. (IV)
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12.
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Define and locate ordinary maxima, minima, and points of inflection.
(V)
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13.
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Determine the integral of the differential au except where n= -1. (VI)
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14.
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Evaluate the constant of integration when given approximate
information. (VI)
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15.
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Evaluate definite integrals. (VI)
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