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Slope of curve at point

Slope of curve at point

Slope of curve at point

(OP)
I thought this problem would be pretty simple in MathCAD.

I have a defined curve and I know the point along the curve in which I want to determine the slope.  Solution is to take the derivative of the curve with respect to x and then solve for y'  based on the intersection point.

The problem I have with MathCAD is that it always takes just the partial differential and treats y as a constant.

Say I have an ellipse.
x^2 +xy + y^2 = 4

I take the derivative and I get
2x + y + xy' + 2yy' = 0
but MathCAD only gives me
2x + y

I can't find the slope of the curve (y') without the y' being in the solution.  How do I a)force MathCAD to not use a partial differential equation or b)find the slope of the curve at a known point?

--Scott
http://wertel.eng.pro

RE: Slope of curve at point

(OP)
Thanks.  The result is very messy, but it works.

--Scott
http://wertel.eng.pro

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