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Question
Find `"dy"/"dx"`, if x = 2at2 , y = at4
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" = 4"at"^3`
∴ `"dy"/"dx" = (("dy"/"dt"))/(("dy"/"dt")) = "4at"^3/"4at" = "t"^2`
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