If x = 3at^2, y = 3at^4 then dy/dx is : Option 1: 3at Option 2: 12at^3 Option 3: 6at Option 4: 2t^2

Answer: 2t^2. Solution: dx/dt = 6at, dy/dt = 12at^3. dy/dx = 12at^3/6at = 2t^2.

Applied Mathematics

Calculus

Easy

applied

If $x = 3at^2$ , $y = 3at^4$ then $\frac{dy}{dx}$ is :

$3at$

$12at^3$

$6at$

$2t^2$

✅ Correct Option: 4

$\frac{dx}{dt} = 6at$ , $\frac{dy}{dt} = 12at^3$ .

$\frac{dy}{dx} = \frac{12at^3}{6at} = 2t^2$ .

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If x=3at2x = 3at^2x=3at2, y=3at4y = 3at^4y=3at4 then dydx\frac{dy}{dx}dxdy​ is :

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

If $x = 3at^2$ , $y = 3at^4$ then $\frac{dy}{dx}$ is :