Find the values of `aa n db` if `f(x)={a x^2+1,xlt=1 ,x^2+a x+b ,x >1"i s differentiable at"x=1`

find the values of a and b , such that f(x) ={ax^2+1,xle1 and x^2+ax+b , x gt1 is differentiable at x=1

Find the values of aa n db so that the function f(x)={x^2+3x+a ,ifxlt=1b x+2,ifx >1 is differentiable at each x in Rdot

Find the values of aa n db so that the function f(x)={x^2+3x+a ,ifxlt=1b x+2,ifx >1 is differentiable at each x in Rdot

Find the values of a and b if f(x)={a+sin^(-1)(x+b), xgeq1 and x ,x<1 is differentiable at x=1.

Find the values of a and b if f(x)={a+sin^(-1)(x+b),xgeq1 and x ,x<1 is differentiable at x=1.

Find the values of p and q , so that f(x)={{:(x^(2)+3x+p, ifxle1),(qx+2,ifx gt1):} 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

If f(x)={{:(,ax^(2)-b,|x|lt 1),(,(1)/(|x|),|x| ge1):} is differentiable at x=1, then

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 .

Show that f(x)={1+x^2,if0lt=xlt=1 and 2-x if x >1 is discontinuous at x=1