If the derivative of the function `f(x) ={ax^2+b , x lt -1 and bx^2 +ax+4,x leq -1` is everywhere continuous, then-

If the derivative of the function f(x)={{:(ax^(2)+b,xlt-1),(bx^(2)+ax+4,xge-1):} is every where continuous, then what are the values of a and b?

The function f(x) =x^3+ax^2+bx+c,a^2lt=3b has

If the function f(x)= {(3ax +b", " x gt 1 ),(11 ", "x=1),(5 ax-2b", " x lt 1):} continuous at x= 1 then ( a, b) =?

If the function f(x)= {(3ax +b", " x gt 1 ),(11 ", "x=1),(5 ax-2b", " x lt 1):} continuous at x= 1 then ( a, b) =?

If the function and the derivative of the function f(x) is everywhere continuous and is given by f(x)={:{(bx^(2)+ax+4", for " x ge -1),(ax^(2)+b", for " x lt -1):} , then

If the function and the derivative of the function f(x) is everywhere continuous and is given by f(x)={:{(bx^(2)+ax+4", for " x ge -1),(ax^(2)+b", for " x lt -1):} , then

If the derivative of the function f(x) is every where continuous and is given by f(x)={{:(bx^(2)+ax+4,,, x ge 1), (ax^(2)+b, ,, x lt -1):}, then : a)a = 2, b = -3 b)a = 3, b = 2 c)a = -2, b = -3 d)a = -3, b= -2