If `f(x)={[ax+b;,xle-1],[ax^(4)+x^(2)+3b;,xgt-1]}` is differentiable for all `x in R` then `(a+2b)` is equal to

If f(x)={{:(,e^(x),x lt 2),(,ax+b,x ge 2):} is differentiable for all x in R , them

If the function f(x)={{:(,-x,x lt 1),(,a+cos^(-1)(x+b),1 le xle 2):} is differentiable at x=1, then (a)/(b) is equal to

Let a and b be real numbers such that the function g(x)={{:(,-3ax^(2)-2,x lt 1),(,bx+a^(2),x ge1):} is differentiable for all x in R Then the possible value(s) of a is (are)

If f(x)={{:(,ax^(2)-b,|x|lt 1),(,(1)/(|x|),|x| ge1):} is differentiable at x=1, then

If f(x)={{:(2x^(2)+3,,,xge3),(ax^(2)+bx+1,,,xle3):} is differentiable everywhere, then (a)/(b^(2)) is equal to

Let a and b are real numbers such that the function f(x)={(-3ax^(2)-2, xlt1),(bx+a^(2),xge1):} is differentiable of all xepsilonR , then