[Solved] If y=x+1/x, y^prime=1-frac1x^2, y^prime \prime=frac2x^3, find - Domain of the function - Critical points - Intervals where the function is increasing,
Question: If \(y=x+\frac{1}{x}, y^{\prime}=1-\frac{1}{x^{2}}, y^{\prime \prime}=\frac{2}{x^{3}}\), find
- Domain of the function
- Critical points
- Intervals where the function is increasing, decreasing
- Intervals where the function is concave up/down
- Behavior of the function toward the end points of its domain.
- Sketch the graph showing all the previous information.
Deliverable: Word Document 