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Question
Choose the correct alternative.
If x = 2at2 , y = 4at, then `"dy"/"dx" = ?`
Options
`- 1/(2"at"^2)`
`1/(2"at"^3)`
`1/"t"`
`1/"4at"^3`
Solution
`1/"t"`
Explanation:
x = 2at2 , y = 4at
∴ `"dx"/"dt" = 2"a"(2"t") and "dy"/"dx" = 4"a"`
∴ `"dx"/"dt" = 4"at" and "dy"/"dt" = 4"a"`
∴ `"dy"/"dx" = ("dy"/"dt")/("dx"/"dt") = "4a"/"4at" = 1/"t"`
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