Find dydx, if x = 2at2 , y = at4 - Mathematics and Statistics

प्रश्न

Find $\frac{dy}{dx}$ , if x = 2at² , y = at⁴

योग

उत्तर

x = 2at²

Differentiating both sides w.r.t. t, we get

$\frac{dx}{dt}$ = 4at

y = at⁴

Differentiating both sides w.r.t. t, we get

$\frac{dy}{dt} = 4 {at}^{3}$

∴ $\frac{dy}{dx} = \frac{(\frac{dy}{dt})}{(\frac{dy}{dt})} = \frac{{4at}^{3}}{4at} = t^{2}$

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Q 1. 2)Q 1. 1)Q 1. 3)

अध्याय 3: Differentiation - EXERCISE 3.5 [पृष्ठ ९७]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board

अध्याय 3 Differentiation
EXERCISE 3.5 | Q 1. 2) | पृष्ठ ९७

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Find dydx, if x = 2at2 , y = at4 - Mathematics and Statistics

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Find dydx, if x = 2at2 , y = at4 - Mathematics and Statistics

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