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Question
If x and y are connected parametrically by the equation, without eliminating the parameter, find `dy/dx.`
`x = 4t, y = 4/y`
Solution
Given, x = 4t and y = `4/t`
Differentiating both sides with respect to ,
`dx/dt = 4` and `dy/dt = (-4)/t^2`
Hence, `dy/dx = (dy/dt)/(dx/dt)`
`= (-4/t^2)/4`
`= (- 1)/t^2`
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