Find and classify the stationary points of y=- x2 + ln(x), x0. Use the second derivative test where

Question

Find and classify the stationary points of y=- x2 + ln(x), x>0. Use the second derivative test wherever conclusive; if it is inconclusive, justify the nature by the first derivative test.

Accepted Answer

Local maximum at $\left(2,-1 + \ln{\left(2 \right)}\right)$.

The second derivative test

The second derivative test

Solution:

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