19  Evanescent h

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Reading questions

Here is a dictionary definition of “evanescent”:

Soon passing out of sight, memory, or existence; quickly fading or disappearing.

  1. Explain what this has to do with the difference between “average rate of change” and “instantaneous rate of change?”

  1. How is the “derivative of f(x) x” different from the “slope function of f(x) x?”

  1. MOSAIC Calculus Sec 19.3 has a list of derivatives of the pattern-book functions. How many of the pattern-book functions have a derivative which is another pattern-book function, or a simple transformation of another pattern-book function.

  1. Which one of the pattern-book functions has a derivative that is exactly the same as itself?

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