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Question

lf f(x)={1,x<01+sinx,0x</π2, then derivative of f(x) atx=0

A
is equal to 1
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B
is equal to 0
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C
is equal to -1
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D
does not exist
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Solution

The correct option is D does not exist
LHD at x=0
=[ddx1]x=0=0
RHD at x=0
=[ddx1+sinx]x=0=cos0=1
hence f doesn't exist

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