Let y= x + 1/x ,x not =0. Find the intervals on which f is an increasing function?
2 Answers
Explanation:
We're looking for the intervals where
Recall that a function is increasing at a point when it's derivative at that point is greater than zero.
Getting the derivative
First, we get the derivative of
Now, we need to solve for:
Solving for the intervals (one approach)
Since
The zeroes of
This results in the graph:
graph{x^2-1 [-2.624, 2.85, -1.727, 1.01]}
Therefore
So, the equation is increasing over those intervals.
The answer can be put into a compact form
Explanation:
Can be put into a compact form as below: