Question 1170166
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This problem is posed incorrectly.


<pre>
    The space C[0,1] is the space of continuous functions on interval [0,1] (standard designation).


    Not every continuous function has a derivative and is differentiable.


    Meanwhile, the definition of the map T(f) assumes existing of the derivatives f'(0) and f'(1).
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It is a &nbsp;RUDE &nbsp;MISTAKE, &nbsp;unpardonable for a university &nbsp;Calculus student/professor.



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