If `f(x)= ax^2-b, |x|<1 ` and `f(x)=-1/|x|, |x|>=1` is derivable at `x=1` then find values of `a` and `b`

if f(x)={(x^2,xle1),(ax+b,x>1):} is differentiable at x = 1, find the values of a and b. Hence find f'(1)

if f(x) = {{:(x^2, x le 1),(ax + b ,x gt 1):} is differentiable at x = 1 . Find the values of a and b.

If the function f(x)={:{(3ax+b", if "xgt1),(11", if "x=1),(5ax-2b", if "xlt1):} is continuous at x=1 , then find the values of a and b

f(x)={ax^(2)-b,, if |x| =1 is differentiable at x=1, find a,bquad if |x|>=1

If the function f(x) given by f(x)={3ax+b,quad if x>1quad if quad if x=15ax-2b,quad if x is continuous at x=-1, find the values of a and b

If f(x) = x^(3) + x^(2) - ax + b is divisible by x^(2) - x , find values of a and b .

If f(x)=ax^(2)+bx+c and f(x - 1) = f(x) + 2x + 1. then find the values of a and b.

If f(x)={{:(ax^(2)+1",",xgt1),(x+a",",xle1):} is derivable at x=1 , then the value of a is

If 0 and 1 are the zeroes of the polynomial f (x) = 2x ^(3) - 3x ^(2) + ax +b, then find the values of a and b.

If 0 and 1 are the zeroes of the polynomial f (x) = 2x ^(3) - 3x ^(2) + ax +b, then find the values of a and b.