MATH100 December 2014
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Question 08 (f)
Note is the natural logarithmic function, also denoted
(f) The second derivative of is
Determine the intervals on which is concave up and the intervals on which is concave down. Find the coordinates of any inflection points if they exist.
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What conditions on the second derivative will solve this?
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The second derivative is defined everywhere on the domain. The only zero occurs at
So we examine:
So, the only inflection point is at .
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