What is the slope of the tangent line of #x^2e^(xy-x-y)= C #, where C is an arbitrary constant, at #(0,0)#?
2 Answers
Slope of the tangent line equals
Explanation:
(Chain Rule, Product Rule and Power Rule)
Therefore
Slope at point
The tangent line is vertical. The slope is not defined.
Explanation:
If the point
then
But now we have
So the equation is equivalent to