If `sqrt(1-x^4) + sqrt(1-y^4) =k(x^2 - y^2)` then show that
`dy/dx = {x sqrt(1-y^4)}/{y sqrt(1-x^4)}`

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

If y sqrt( 1 - x^(2) ) + x sqrt ( 1 - y^(2) ) = 1 , prove that (dy)/( dx) = - sqrt((1-y^2)/( 1-x^2)) .

If f'(x)=sqrt(2x^2-1) and y=f(x^2) then what is dy/dx at x = 1 ?

If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)) , then show that (dy)/(dx)=-(y)/(x) .

If logsqrt(x^(2)+y^(2))=tan^(-1)((x)/(y)) , then show that (dy)/(dx)=(y-x)/(y+x) .

If sin^(-1) x +sin^(-1) y + sin^(-1) z =pi , "show that" x sqrt(1-x^2)+y sqrt(1-y^2) +zsqrt(1-z^2)=2 xyz

If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))] then find (dy)/(dx)

int(x^2+2x+1)/sqrt(x+4)dx