Which values of aand b, `f(x)= x^2, x leqc` and `f(x)=ax+b, x gtc` differentiable at`x=c`

find the values of a and b , such that f(x) ={ax^2+1,xle1 and x^2+ax+b , x gt1 is differentiable at x=1

find the values of a and b , such that f(x) ={ax^2+1,xle1 and x^2+ax+b , x gt1 is differentiable at x=1

For what values of a and b, is the function f(x)= {(x^(2) "," x le c),(ax + b"," x gt c):} differentiable at x=c

For what values of 'a' and 'b' the function: f(x) = {:{(x^2,xlec),(ax+b,x>c):} is differentiable at x =c.

If f (x) ae^(|x|)+b |x|^(2) ,a ,b in R and f(x) is differentiable at x =0 ,then

If f(x)={ax^(2)+b,x 1;b!=0, then f(x) is continuous and differentiable at x=1 if

If f(x)=ax when a =1 then the values of a and b for which f(x) is differentiable are

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 f(x)=ax when x = 1 then the values of a and b for which f(x) is differentiable are