I got a curve, that is non parametrized and I need to find principal unit normal vector to that curve at certain point

in my case it is y=e^x at point x=1

what do I do ??

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- Feb 25th 2009, 06:29 AMnewprintUnit Normal Vector to non-parametrized curve
I got a curve, that is non parametrized and I need to find principal unit normal vector to that curve at certain point

in my case it is y=e^x at point x=1

what do I do ?? - Feb 25th 2009, 06:58 AMAbu-Khalil
In or ?

Anyway, if you derivate you'll get , so the tangent line in has a slope equal to , therefore the normal line to the curve in that point has a slope . Let then your vector is . - Feb 25th 2009, 08:09 AMHallsofIvy
It's actually unusual for a curve in two dimensions as parametric equations since it is simpler to write it as a single xy equation. If that was a problem and you knew how to find a normal vector for a parameterized curve, let x itself be the parameter: x= t, y= .