# What is the slope of the tangent line of #(x^2-y)e^y-y/x+x^3/y = C #, where C is an arbitrary constant, at #(2,2)#?

##### 1 Answer

Mar 19, 2018

One form of the answer is

#### Explanation:

Implicitly differentiate

Collect derivative terms

Solve for

Substitute in the values

This will look a little simpler if we multiply the numerator and denominator by 2.