If x = sin^(-1) (3t - 4t^(3)) and y = co...

If `x = sin^(-1) (3t - 4t^(3)) and y = cos^(-1) (sqrt(1 - t^(2)))`, then `(dy)/(dx)` is equal to a)`(1)/(2)` b)`(2)/(3)` c)`(1)/(3)` d)`(2)/(5)`

A

`(1)/(2)`

B

`(2)/(3)`

C

`(1)/(3)`

D

`(2)/(5)`

Verified by Experts

The correct Answer is:

C

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