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]}