SOLUTION: Find an equation of the tangent line to the graph of f(x)=(x^3+1)/(x^2+x+1) at the point whose x-coordinate is 1

Algebra ->  Equations -> SOLUTION: Find an equation of the tangent line to the graph of f(x)=(x^3+1)/(x^2+x+1) at the point whose x-coordinate is 1       Log On


   

Question 1003623: Find an equation of the tangent line to the graph of f(x)=(x^3+1)/(x^2+x+1)
at the point whose x-coordinate is 1
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Use quotient rule to find f'(x).



Substitute x = 1 to compute f'(1), that is, the slope of the tangent line at x = 1.

You also know f(1) = 2/3, so you can then express the equation of the tangent line in the form .