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

Question 1005663: 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 Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The slope of the tangent line is equal to the value of the derivative at that point.
So first find the derivative using the quotient rule.

I won't bother to simplify since we're doing an evaluation,
So when, ,

So then find the value of the function at

Use the point-slope form of a line,

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