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Small World, Isn’t It? Charlotte, Samantha, Alyssa, and Amelie

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Linear Stuff General form: Rate of change is “a”

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Average vs. Instantaneous Instantaneous rate of change = derivative Secant lineTangent line

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Derivative Approximate derivative calculation Calculating derivative The derivative of the function f(x) at a point (a, f(a)) is equal to the instantaneous rate of change of f(x) at x = a.

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Exponents General form: Rules of Exponents -

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Proportionality Constant General form: The derivative of an exponential function can be expressed by the proportionality constant multiplied by the function itself.

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e Equal to approximately 2.71828 is the function where the proportionality constant is equal to 1

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Logarithms Logarithms always involve non-negative bases

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Change of Base Take the logarithm of both sides Divide both sides by log7

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7.2 Powers of 10 and Scientific Notation

7.2 Powers of 10 and Scientific Notation

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