How to prove log(x)*log(1-x) is a concave function ?
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I want to prove that log(x)*log(1-x) is a concave function, although the excel shows that it is a concave function, I can't prove that. Please help :(
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Answer:
just double differentiate it you will see that the double differentiation attains only negative values in its domain hence the curve is a concave function.. hope it helps...
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