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 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 aandb if f(x)={a+sin^(-1)(x+b),x>=1 and x,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 'a' and 'b', if the function given by: f(x)={{:(ax^(2)+b", if "xlt1),(2x+1", if "xge1):} is differentiable at x = 1.

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

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

The value of b for which the function f(x)={5x-4,0xlt=1 , 4x^2+3b x ,1< x <2 and continuous at x=1

f(x)={ax^(2)-b,, if |x| =1 is differentiable at x=1, find a,bquad if |x|>=1

Find the values of k for which |(x^(2)+kx+1)/(x^(2)+x+1)|<2,AA x in R