What is the equation of the normal line of $f(x)=xln(3^(1/x))$ at $x=9$ ?

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Answer 1 · 2016-03-28T17:25:13

The normal line at $x=9$ is the vertical line $x=9$

$f(x) = x[ln(3^(1/x))] = x [1/x ln(3)] = ln(3)$

So the graph of $f$ is a horizontal line and the normal line if vertical.

The vertical line with $x=9$ has equation $x=9$ .

What is the equation of the normal line of f(x)=xln(3^(1/x))f(x)=xln(3^(1/x)) at x=9x=9?