find pts on y = x/(x+1) where tangent parallel to x-y=2

[marshmello87]

find the points on the curve y = x/(x+1) where the tangent is parallel to x – y = 2

i really dont understand this question. can someon just explain the steps to me?

 

[galactus]

\(\displaystyle \L\\y=\frac{x}{x+1}\)..........[1]

\(\displaystyle \L\\y=x-2\)..........[2]

See what the slope of [2] is?.

Differentiate [1], set it equal to the slope of [2] and solve for x. You should have 2 answers.

 

[marshmello87]

thank u so muchh!! i got (0,0) and (-2,2).