If f(x) = ` {{:( e^(x) +ax ,"for " x lt 0 ),( b(x-1) ^(2) ,"for " xge 0):}, ` is differentiable at x =0,then (a,b) is

If f(x)={{:( e^(x^(2)+x), x gt0),( ax+b, xle0):} is differentiable at x=0 , then (a) a=1,b=-1 (b) a=-1,b=1 (c) a=1,b=1 (d) a=-1,b=-1

Let f(x)={{:(x^(2)-ax+1",", x lt 0),(b(1-x)^(3)",", x ge0):} . If is a differentiable function, then the ordered pair (a, b) is

Let f(x)={{:(x^(2)-ax+1",", x lt 0),(b(1-x)^(3)",", x ge0):} . If is a differentiable function, then the ordered pair (a, b) is

If f(x)={{:(e^(2x^(3)+x),x gt 0),(ax+b, x le 0):} is differentiable at x = 0, then

If f(x)={{:(e^(2x^(3+x)),x gt 0),(ax+b, x le 0):} is differentiable at x = 0, then

If f(x) = 0 for x lt 0 and f(x) is differentiable at x = 0 then for xgt 0 , f(x) may be