For what choice of `a` and `b` is the function `f(x)={x^2\ \ \ ,\ \ \ xlt=c a x+b\ \ \ ,\ \ \ x > c` is differentiable at `x=c` .

For what choice of a and b is the function f(x)={x^(2),x c is differentiable at x=c

For what choice of a and b is the function f(x)={x^2,xlt=c and a x+b ,x > c is differentiable at x=c

Find the values of a and b , if the function f(x) defined by f(x)={x^2+3x+a ,\ \ xlt=1b x+2,\ \ \ \ \ \ \ \ \ \ x >1 is differentiable at x=1 .

For what choice of a and b is the function f(x)={x^(2),quad x c is differentiable at x=c .

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

Find the values of a and b , if the function f defined by f(x)={x^2+3x+a ,xlt=1b x+2,x >1 is differentiable at x=1

Find the values of a and b , if the function f defined by f(x)={x^2+3x+a ; if xlt=1, b x+2 ; if x >1 is differentiable at x=1

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

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.

If f(x)={x,x 1 find b and c if function is continuous and differentiable at x=1