Let (a) Graph fon (0, ) and show that is strictly decreasing on (e, ). (b)

Let

(a) Graph fon (0, ∞) and show that ƒ is strictly decreasing on (e, ∞).

(b) Show that if e ≤ A < B, then A^B > B^A.

(c) Use part (b) to show that e^π > π^e.

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In x f(x) = - X