If `f(x)=x^3sgn(x),` then

If f(x)=x^(3)"sgn"x then-

If f(x) = x^(3) sgn (x), then

If f(x) = x^(3) sgn (x), then

If f(x) = x^(3) sgn (x), then A. f is differentiable at x = 0 B. f is continuous but not differentiable at x = 0 C. f'(0^(-)) = 1 D. None of these

If f(x) = x^(3) sgn (x), then A. f is differentiable at x = 0 B. f is continuous but not differentiable at x = 0 C. f'(0^(-)) = 1 D. None of these

If f(x)=sgn(cos x) then f'((pi)/(2)) is

If f(x) = sgn (cos x) , then f^(1)(pi/2) is

Let f(x)=(1+x^(2))sgn x, then

f(x)= x^(3) sgn(x). Show that f(x) is differentiable at x=0.

If f(x)=x^3(sgn [x] + {x}):0le xlt2, cosx+|x-2| ; 2 le x le pi Where [.], {.} and sgn (.) represents the greatest integer, the fractional part and signmum function respectively A. f(x) is differentiable at x = 1 B) f(x) is continuous but non-differentiable at x = 1 C) f(x) is discontinuous at x= 2 D) f(x) is non-differentiable at x =2