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`

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

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

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

The function f(x)= log_(c) x , where c gt 0, x gt 0 is

Which values of aand b,f(x)=x^(2),x c differentiable at x=c

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