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` .

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

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

Find the value of ' a ' if the function f(x) defined by f(x)={2x-1,\ \ \ x 2 is continuous at x=2

Find the values of a and b such that the function f defined by f(x) = {(ax^2+b, if x 1):} .

Find the values of a and b, if the function f defined as f(x) {(x^2+3x+a, if xle1),(bx+2,if x>1):} is diffentiable at x = 1

Find the value of a if the function f defined by f(x) = {:{(2x-1, x 2):} is continuous at x = 2.

If f(x)={x^2+3x+a ,\ \ \ for\ xlt=1b x+2,\ \ \ \ \ \ \ \ \ \ \ \ \ for\ x >1 is everywhere differentiable, find the values of a and b .

Find the relationship between ' a ' and ' b ' so that the function 'f' defined by f(x)={a x+1\ \ \ ,\ \ \ if\ xlt=3b x+3\ \ \ ,\ \ \ if\ x >3 is continuous at x=3 .

Find the relationship between ' a ' and ' b ' so that the function 'f' defined by f(x)={a x+1\ \ \ ,\ \ \ if\ xlt=3b x+3\ \ \ ,\ \ \ if\ x >3 is continuous at x=3 .