Find the values of `aa n db` if `f(x)={a+sin^(-1)(x+b),xgeq1x ,x<1` is differentiable at `x=1.`

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 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 value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1) (2 sqrt(x - x^(2))) is constant

Find the domain of the function: f(x)=(sin^(-1)x)/x

Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

Find the values of aa n db such that int(dx)/(1+sinx)=tan(x/2+a)+b

The curve f(x)=(x^2+a x+6)/(x-10) has a stationary point at (4,1) . Find the values of aa n db . Also, show that f(x) has point of maxima at this point.

Find the inverse of the function: f(x)={x^3-1, ,x<2 x^2+3,xgeq2

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

Find the values of a if f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1) is continuous at x=1.