If cos^(-1) ((x^(2) -y^(2))/( x^(2)+y^(...

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

A

`-(x)/(y)`

B

`-(y)/(x)`

C

`(y)/(x)`

D

`(x)/(y)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

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

((d^(2)y)/(dx^(2)))^(2) + cos ((dy)/(dx)) = 0

(x^(2) - y^(2)) dx + 2xy dy = 0

If y= log (x + sqrt(x^(2) + a^(2))) then (dy)/(dx) = ………

If y = sin ^(-1) (( 2^(x +1))/( 1 + 4 ^(x))) and (dy)/(dx) = (2 ^(x +1 ) log 2)/(f (x)) then f (0) = ____________.

If y = e^(a cos^(-1)x) show that (1-x^(2)) (d^(2)y)/(dx^(2))-x (dy)/(dx) -a^(2)y= 0 . Where -1 le x le 1

x^(2)(dy)/(dx) = x^(2) - 2y^(2) + xy

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

If y=1+x+(x^(2))/(2!)+(x^(2))/(3!)+……+(x^(n))/(n!) then (dy)/(dx) =…………