# Consider f(x) = 1/x on [1,∞). Find all the critical points. Is there a maximum? If yes, ﬁnd it. If no, why not? Is there a minimum? If yes, ﬁnd it. If no, why not?

Question

Consider f(x) = 1/x on [1,∞). Find all the critical points. Is there a maximum? If yes, ﬁnd it. If no, why not? Is there a minimum? If yes, ﬁnd it. If no, why not?