document.write( "Question 1170166: Let T : C[0,1] → R be given by
\n" ); document.write( "T(f) = f(0) + 3f′(0) + 2f′(1).
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Algebra.Com's Answer #795017 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "This problem is posed incorrectly.\r
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document.write( "    The space C[0,1] is the space of continuous functions on interval [0,1] (standard designation).\r\n" );
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document.write( "    Not every continuous function has a derivative and is differentiable.\r\n" );
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document.write( "    Meanwhile, the definition of the map T(f) assumes existing of the derivatives f'(0) and f'(1).\r\n" );
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