1.

Let \[f(x)=\left\{ \begin{align} & 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\forall x<0 \\  & 1+\sin x\,\,\,\forall 0\le x\le \pi /2 \\ \end{align} \right.\], then what is the value of \[f'(x)\] at \[x=0\] [Orissa JEE 2005]

A. 1
B. ?1
C. \[\infty \]
D. does not exist
Answer» E.


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