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An example of differentiation, and finding the domain


What is the domain of f(x)? Give your answer in interval notatation and say how you found it.

Differentiate f(x) and simplify your answer to one expression.

(Question is also given in the attachment)


Solution Summary

The solution is a half page Word attachment with equations written in Mathtype. Each step is explained. The question is quite standard, but is a nice example because it involves several common techniques of differentiation (chain rule, product rule, rewriting square roots as radical powers) and algebraic manipulation (combining fractions over a common denominator, factoring quadratics)