If y= x^(2) +(1)/( x^(2) + (1)/( x^(2) ...

If ` y= x^(2) +(1)/( x^(2) + (1)/( x^(2) +...infty )),then (dy)/(dx) =`

A

`(2xy)/(2y-x^(2))`

B

`(xy)/(y+x^(2))`

C

`(xy)/(y-x^(2))`

D

`(2xy)/(2+x^(2)/y)`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

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

If y=log((1-x^(2))/(1+x^(2)))," then "(dy)/(dx)=

If y=e^(x+e^(x+e^x+....infty , then dy/dx=

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

If y="cosec"^(-1)((x^(2)+1)/(x^(2)-1))+cos^(-1) ((x^(2)-1)/(x^(2)+1)),"then " (dy)/(dx)=

If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2) , then (dy)/(dx) is equal to

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

If x=(1-t^(2))/(1+t^(2)) and y=(2t)/(1+t^(2)) , then (dy)/(dx) is equal to

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