# What is the slope of the tangent line of #(y/x)e^(x/y-x^2)= C #, where C is an arbitrary constant, at #(1,2)#?

##### 1 Answer

Jun 2, 2018

10

#### Explanation:

Taking the logarithm of both sides gives us

Differentiating with respect to

At the point

Hence the slope of the tangent at

**Note**

I have assumed that tangent at *tangent to the curve at*