Home
Class 12
MATHS
If Cos ^(-1) (( x ^(2) - y ^(2))/(x ^(2)...

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

A

` y/x`

B

`x/y`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|3 Videos
  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D|92 Videos
  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|112 Videos
  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

Similar Questions

Explore conceptually related problems

If (x ^(2))/(a ^(2)) - (y ^(2))/(b ^(2)) =1 then (dy)/(dx)=

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

Solve (dy)/(dx)=(x^(2)+y^(2))/(2x^(2))

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

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

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

A: If y = x ^(y) then (dy)/(dx) = (y ^(2))/(x(1- log y )) If y = f (x) ^(y), then (dy)/(dx) = (y ^(2) f '(x))/(f (x) [1- ylog f (x)])= (y ^(2) f'(x))/(f (x) [1- log y])

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