Find all the ponts on the curve where the tangent line is horizontal. I've graphed it, i know the answer is but how do u get that mathematically?

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- Oct 17th 2007, 02:57 PMpolymerase"hard" implict tangent question
Find all the ponts on the curve where the tangent line is horizontal. I've graphed it, i know the answer is but how do u get that mathematically?

- Oct 17th 2007, 03:28 PMtopsquark
Your points are close, but not quite.

Take the derivative:

The slope of the tangent is horizontal when

Sooooo....

So the points where we have a 0 slope tangent are the points where the original function intersects the circle .

So is our condition we insert into the original relation.

Thus

You can solve this for the x and y values.

-Dan