Question: The purpose of this question is to practice using logarithms to find critical values. Since In z is an increasing function, the critical values
The purpose of this question is to practice using logarithms to find critical values. Since In z is an increasing function, the critical values of any function f(z) occur at the same place as the critical values of In (f(x)). In this question you'll find the critical values of a function without using logarithms, then you'll find the critical values using logarithms. Assume for these questions that the domain is 0 < p < 1. Note that you are asked for a critical value, so your answer should be a value for p, not L(p). Find the critical values of the function L(p) = p(1 p)- by finding where L' (p) = 0. Find the critical values of the function In (L(p)). Confirm you get the same result is in the previous part.
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