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--- pow:problem1 [2020/02/18 20:06] – nye
+++ pow:problem1 [2020/02/18 21:10] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 80% round orange|Problem 1 (due Monday, Feb. 17)>
+a) Is there a one-to one and onto function $f: (0,1)\longrightarrow (0,1)$ such that $f'=f^{-1}$, i.e. the derivative of $f$ equals the inverse of $f$?
+b) Is there a one-to one and onto function $f: (0,\infty)\longrightarrow (0,\infty)$ such that $f'=f^{-1}$, i.e. the derivative of $f$ equals the inverse of $f$?
+</box>
+This problem was solved by only one participant: Yuqiao Huang. The submitted solution has been essentially
+the same as our "in-house" solution. To see the solution and some related open questions click the following
+link {{:pow:problemofweek.pdf|Solution}}