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in Continuity and Differentiability by (91.6k points)
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If x and y are connected parametrically by the equations given, without eliminating the parameter, Find `(dy)/(dx)`.
`x=costheta-cos2theta, y=sintheta-sin2theta`

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`(deltay)/(deltatheta)=costheta-2cos2theta`
`(deltax)/(deltatheta)=sintheta+2sintheta`
`(deltay)/(deltax)=(costheta-2cos2theta)/(-sintheta+2sin2theta)`

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