20  Constructing derivatives

\[ \newcommand{\dnorm}{\text{dnorm}} \newcommand{\pnorm}{\text{pnorm}} \newcommand{\recip}{\text{recip}} \]

Reading questions

  1. What is the difference between a “symbolic derivative” and a “finite-difference” numerical derivative?

  1. What is a second derivative?

  1. Give an example of a quantity in real life that is the second derivative of another real-life quantity.

  1. Find the function produced by D(dnorm(x) ~ x) and graph it over the domain \(x \in [-3,3]\). Looking at the graph, is D() producing a reasonable answer. Explain your reasoning briefly.
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