Find Dydx, If X = 2at2 , Y = At4 - Mathematics And Statistics

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Question

Find `(dy)/(dx)`, if x = 2at2, y = at4.

Sum
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SolutionShow 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`

shaalaa.comDerivatives of Parametric Functions Report Error Is there an error in this question or solution?Q 1. 2)Q 1. 1)Q 1. 3)Chapter 3: Differentiation - EXERCISE 3.5 [Page 97]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State BoardChapter 3 DifferentiationEXERCISE 3.5 | Q 1. 2) | Page 97

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