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Class 12 Maths Practice Test - Derivatives of Function in Parametric Form
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Avg score: 90% • Most missed: “Find \(\frac{dy}{dx}\), if x=log⁡(tan⁡t) and y=log⁡(sin⁡t).”
Class 12 Maths Practice Test - Derivatives of Function in Parametric Form
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10 Questions

1. Find \(\frac{dy}{dx}\), if x=a2 t2 cotθ and y=at sin⁡θ.
2. Find \(\frac{dy}{dx}\), if x=6 sin-1⁡2t and y=\(\frac{1}{\sqrt{1-4t^2}}\).
3. Find \(\frac{dy}{dx}\), if x=sin⁡3t and y=t2 tan⁡2t.
4. Find \(\frac{dy}{dx}\), if x=3a2 cos2⁡θ and y=4a sin2⁡θ.
5. Find \(\frac{dy}{dx}\), if x=2t2 and y=6t6.
6. Find \(\frac{dy}{dx}\), if x=log⁡(tan⁡t) and y=log⁡(sin⁡t).
7. Find \(\frac{dy}{dx}\), if x=tan⁡2θ and y=cos⁡2θ+sin2⁡θ.
8. Find \(\frac{dy}{dx}\), if x=log⁡t2 and y=\(\frac{1}{t}\).
9. Find \(\frac{dy}{dx}\), if x=9t4 and y=t.
10. Find \(\frac{dy}{dx}\), if x=2et and y=log⁡t

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