If `y=sqrt(x+1)` , then `y'=?`

If x= y sqrt( 1-y^(2)) ,then (dy)/(dx)

If x sqrt(y+1)+y sqrt(x+1)=0 & x!=y, then (dy)/(dx)=

If e^(x)=y+sqrt(1+y^(2) then the value of y is

If sqrt(x) + sqrt(y) = sqrt(a) , then (dy)/(dx) = 1/(2sqrt(x)) + 1/(2sqrt(y)) = 1/(2sqrt(a))

If sqrt(y-x)+sqrt(y+x)=1" then "(d^(3)y)/(dx^(3)) at x=1 is equal to

The equations y= +-sqrt3 x,y =1 are the sides of

Let k[f(x)+f(y)]=f(x sqrt(1-y^(2))+y sqrt(1-x^(2))) then k=:

The area of the region is 1st quadrant bounded by the y-axis, y=(x)/(4), y=1 +sqrt(x), and y=(2)/(sqrt(x)) is

Given that (1+sqrt(1+x))tan y=1+sqrt(1-x) Then sin4y is equal to (a)4x(b)2x(c)x(d) none of these