Is there an inflection point?

Math Central

Quandaries & Queries

Question from Z., a teacher:

I was wondering if the function F(x)= x/ln(x) had an inflection point?
If yes, why it's not visible on the graph of the function?
Thanks.

Hi,

The graph does change concavity at $x = 1$ but there is no point on the graph at $x = 1$ so there is no inflection point.

x/ln(x)

Penny

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