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If x and y are connected parametrically ...

If x and y are connected parametrically by the equations given, without eliminating the parameter, Find `(dy)/(dx)`.
`x=4t , y=4/t`

Text Solution

Verified by Experts

Given equations are `x=4t and y=4/t`
`⇒ dx/dt= d/ dt (4t)=4`
`and dy/dt= d/dt ( 4/t)`
`=4. d/dt( 1/t)`
`=4.( -1/t ^2)= -4/t ^2`
`=>dy/dx= (dy)/(dt)//(dx)/(dt)=-1/t^2`
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