Determine the point(s) if any at which the graph of the function has a horizontal tangent line.

y=x^3+x

I graphed this function out and it looks like there isn't any horizontal tangents. Am I correct or am I forgeting something? I tried finding the derivitave of the function which ended up being 3x^2+1 but that equation will never equal to zero

1 answer

You are correct. The slope is always positive.

see the graph at

http://www.wolframalpha.com/input/?i=x%5E3%2Bx