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

For what values of 'a' and 'b' , the function: f(x) = {:{(x^2,ifxle2),(ax+b,ifx>2):} is derivable at x=2?

For what value of mu is the function f(x)=mu(x^(2)-2x),x 0 is continuous at x=0

For what value of x, does the function f(x) = x^(2//3) have a local minimum value?

For what value of k, the function f(x)={kx^(2),quad if x<=2 and 3,quad if x<2 is continuous?

For what value of k, the function f(x) ={:{((x^2-4)/(x-2)", " x ne 2),(" "k", " x=2):}, is continuous at x =2.

For what value of k, the function f(x) ={:{((x^2-4)/(x-2)", " x ne 2),(" "k", " x=2):}, is continuous at x =2.