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The set of points where f(x)=x/(1+|x|) i...

The set of points where `f(x)=x/(1+|x|)` is differentiable is

A

` (-infty,0 ) uu(0,infty ) `

B

` (-infty ,-1) uu(-1,infty ) `

C

` (0,infty ) `

D

` (-infty ,infty ) `

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The correct Answer is:
D
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
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  2. If f(x) = {{:( 1-2x +3x^(2) -4x^(3) +......infty,"for" xne 1),( 1,"f...

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  5. If f(x)=x -|x| is

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  12. If the function g(x)={{:(,k sqrt(x+1),0 le x le3),(,mx+2,3lt xle5):...

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  14. If f (x) ={{:( px^(2) +q,"for " xle 1),( qx^(2) +px +r ,"for " xlgt 1...

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  18. If lim( xto 2 ) (f(x) -f(2))/( x-2) exist ,then

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  19. If f is derivable at x =a,then lim(xto a )( (xf(a) -af( x))/(x-a) )

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  20. If the relation f'(a+b) =f'( a)+ f '(b) and (d)/(dx)(f(x))=f'(x) ,the...

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