Question

If sin (xy) = 1, then `(dy)/(dx)` is equal to ________.

पर्याय

• `x/y`

• `-x/y`

• `y/x`

• `-y/x`

Answer 1

If sin (xy) = 1, then `(dy)/(dx)` is equal to `bbunderline(-y/x)`.

Explanation:

sin (xy) = 1

x.y = sin⁻¹ 1

`(dy)/(dx) (x.y) = (dy)/(dx)(sin^-1 1)`

`x.(dy)/(dx) + y` = 0

`(dy)/(dx) = -y/x`