20  Constructing derivatives

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Reading questions

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

2. What is a second derivative?

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

3. 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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