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   ocr: b). Since f IS dif fferentable at every X70 and f'(x) F O fur x>0, 7 f has an mverse Lt. J 9'(#(x)) = f'(x) fex) 1 I - - - X I+x2 1+x2 F'(I) == - - - 2 4 9'()= -2 7 A df - :: - him F(x+Ax)-f(x) dx Ax-0 Ax lim 6-Ox)1x+Axl -xixl Ax40 Ax il lim Ax (xlx+axl-xk) + Ixl 0x50 - X lim Ax40 Ax (Ix.al-11) + Ixi dixl-X . il I Line dx Ixl 2 doxiki3 1 X+ Ix1 dx Ixl At x=0, dexlxl3 i O - dx