" 8.If "f(x)={[ax^(2)-b," if "|x|<1],[(1)/(|x|),," if "|x|>=1]" is differentiable at "x=1," find "a,b

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

If f(x)=ax^(2)-b,|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)

Find 'a' and 'b', if the function given by: f(x)={{:(ax^(2)+b", if "xlt1),(2x+1", if "xge1):} is differentiable at x = 1.

Find the values of aandb if f(x)={ax^(2)+1,x 1 is differentiable at x=1

Find the values of aandb if f(x)={a+sin^(-1)(x+b),x>=1 and x,x< is differentiable at x=1

Find the values of a and b if f(x)={a+sin^(-1)(x+b), xgeq1 and x ,x<1 is differentiable at x=1.

Find the values of a and b if f(x)={a+sin^(-1)(x+b),xgeq1 and x ,x<1 is differentiable at x=1.

Find the values of a and b if f(x)={a+sin^(-1)(x+b), xgeq1 and x ,x<1 is differentiable at x=1.

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