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

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

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 defined by f(x)={x^2+3x+a ,xlt=1b x+2,x >1 is differentiable at x=1

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

find the maximum value of f(x) = (sin^(-1) (sin x))^(2) - sin^(-1) (sin x)

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

Find the value of x for which sin^(-1) (cos^(-1) x) lt 1 and cos^(-1) (cos^(-1) x) lt 1

If the function f(x)={{:(,-x,x lt 1),(,a+cos^(-1)(x+b),1 le xle 2):} is differentiable at x=1, then (a)/(b) is equal to