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Question
Find `(dy)/(dx)`, if x = 2at2, y = at4.
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Solution
x = 2at2
Differentiating both sides w.r.t. t, we get
`(dx)/(dt)` = 4at
y = at4
Differentiating both sides w.r.t. t, we get
`(dy)/(dt) = 4at^3`
∴ `(dy)/(dx) = (((dy)/(dt)))/(((dx)/(dt))) = (4at^3)/(4at) = t^2`
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