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Derivatives : Show that the function f(x) = ln(x) does not have a relative minimum or relative maximum; Complex Roots of Polynomials

Please show that the function f(x) = ln(x) does not have a relative minimum or relative maximum.

Please show that for a polynomial of degree 3, if 1 + i is a zero, then 2 + i is not a zero.

Solution Summary

Derivatives are used to show that the function f(x) = ln(x) does not have a relative minimum or relative maximum. Complex Roots of Polynomials are discussed. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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