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

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

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

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

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.

Exponents General form: Rules of Exponents -

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

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

Logarithms Logarithms always involve non-negative bases

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

The End!

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