# 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