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

The values of a and b if the function f(x)={{:(x^(2)+3x+a",",xle1),(bx+2",",xgt1):} is differentiable at x =1, are :

Find the values of aandb if f(x)={ax^(2)+1,x 1 is differentiable at x=1

The value of m which the function f(x) {{:( mx^(2), "for " xle 1 ),( 2x,"for" xgt 1 ):} is differentiable at x= 1,is

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

If f(x)={ax^(2)+b,x 1;b!=0, then f(x) is continuous and differentiable at x=1 if

Find the value of a and b if (x-1) and (x+1) are factors of x^4 + ax^3 - 3x^2 + 2x + b

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