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If x =at^3 and y = bt^2, find (dy)/(dx)....

If `x =at^3` and `y = bt^2`, find `(dy)/(dx).`

A

`0`

B

`(2b)/(3a)`

C

`(2b)/(3at)`

D

`(2)/(3at)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(dx)/(dt) = 3at^2, (dy)/(dt) = 2bt :. (dy)/(dx) = (dy//bt)/(dx//dt) = (2bt)/(2at^2)= (2b)/(3at)`
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