# What is the slope of the tangent line of #e^x/(x+y)^3= C #, where C is an arbitrary constant, at #(5,1)#?

##### 1 Answer

Apr 10, 2018

The slope is

#### Explanation:

As we are seeking a tangent at

and our curve is

or

As slope of tangent is given by the value of

i.e.

i.e.

i.e.

and at

graph{(216e^(x-5)-(x+y)^3)(y-x+4)=0 [-6.04, 13.96, -3.08, 6.92]}