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` .

If f(x)={x^(2)+3x+a,quad f or x is everywhere differentiable,find the values of a and b

If f(x)={x^2+3x+a ,xlt=1b x+2,forx >1 is everywhere differentiable, find the values of aa n dbdot

If f(x)={x^2+3x+a ,xlt=1, b x+2, forx >1 is everywhere differentiable, find the values of aa n dbdot

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

If the function f(x) given by f(x)={3a x+b ,\ \ \ if\ x >1\ \ \ \ \ \ \ \ \ \11, if x=1\ \ \ 5a x-2b, if x<1 is continuous at x=1 , find the values of a and b .

Let f(x)={2x+3 for x 1 if f(x) is everywhere differentiable, prove that f(2)=-4

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.

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 .

if f(x)={(x^2,xle1),(ax+b,x>1):} is differentiable at x = 1, find the values of a and b. Hence find f'(1)

If f(x)={x ,\ xlt=1x^2+b x+c ,\ x >1 , then find the values of b\ a n d\ c if f(x) differentiability at x=1.