If `siny=(x^2)/(sqrt(a^4+x^4)),` then `(dy)/(dx)x=1=`

1) If y=(x-4)/(sqrt(x+2)) ,then (dy)/(dx)

Ify=log(x+sqrt(x^(2)+4)), then (dy)/(dx)=

If y=(1)/(sqrt(x^(2)+4)+sqrt(x^(2)+2)) then (dy)/(dx)=

If y=sqrt((sqrt(x-1))/(sqrt(x+1)))," then "(dy)/(dx)|_(x=4)=

If y^(cosx)=x^(siny)," then "(dy)/(dx)=

If y = sin^(-1) x^2 sqrt(1 - x^2) + xsqrt(1 - x^4) , show that (dy)/(dx) - (2x)/(sqrt(1 - x^4)) = 1/(sqrt(1 - x^2))

If y = tan^(-1)((sqrt(1 + x^2) - sqrt(1 - x^2))/(sqrt(1 + x^2) + sqrt(1 - x^2))) , then show that (dy)/(dx) = x/(sqrt(1 - x^4))

If y = ((x + 1)^2 sqrt(x - 1) )/((x + 4)^3 e^x) , then (dy)/(dx) =

If (cosx)^(y)=(siny)^(x), then find (dy)/(dx) .