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f(x)=sin12x1+x2 is differentiable on 

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a
−1,1
b
R−−1,1
c
R+−1,1
d
none of these

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detailed solution

Correct option is B

f(x)=sin−12x1+x2⇒f'x=11−2x1+x22ddx2x1+x2                     = 1+x21+x22−4x2.1+x2.2−2x2x1+x22                   = 11−x2221−x21+x2                 = 21+x2    if  x<1−21+x2   if  x>1∴f'x  does not exist at x=1, i.e x=±1∴f(x) is differentiable on R−−1,1.


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