How do you use the first and second derivatives to sketch y = x - ln |x|?
1 Answer
Explanation:
We can calculate the first derivative separately for
1) For
2) For
Thus the derivative is the same in the two intervals
We can therefore see that the function has only a critical point for
so this critical point is a local minimum. It has no inflection points and is concave up in its domain.
We can also note that:
So