mathmama

src/exercise/1.typ

@@ -91,3 +91,23 @@ $
   root(n, abs(1/(n^n))) &= 1/n -> 0 < 1 \ 
   &=> a_n #text(" diverges") checkmark
 $
+
+#pagebreak()
+=== Exercise 3 @Exercise[1, 3]
+#block(
+  fill: luma(230),
+  inset: 8pt,
+  radius: 4pt,
+[
+  Determine the maximal domain of the following functions as a subset of $RR$
+  and calculate their derivatives.
+
+  #set enum(numbering: "(a)")
+  + $ f(x) = ln((e^x) / (1+e^x)) $
+  + $ f(x) = ((x+1)/(x-1))^2 $
+])
+
+#set enum(numbering: "(a)")
++ $
+
+$