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Find dy/dx, when x = 3at^2 , y = 2at^6

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greyapple | Student | eNoter

Posted November 30, 2012 at 12:52 PM via web

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Find dy/dx, when x = 3at^2 , y = 2at^6

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted November 30, 2012 at 12:58 PM (Answer #1)

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The derivative `dy/dx` has to be determined given that `x = 3at^2` , `y = 2at^6`

`x = 3at^2`

=> `dx/(dt) = 6at`

`y = 2at^6`

=> `dy/(dt) = 12at^5`

`dy/dx = (dy/(dt))/(dx/(dt))`

=> `dy/dx = (12at^5)/(6at) `

=> `2t^4`

The derivative `dy/dx = 2*t^4`

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