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An example of differentiation, and finding the domain

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F(x)=(2x+3)*sqrt(x^2-5)

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.

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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)

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