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If x = \(\cfrac{sin^3t}{\sqrt{cos\,2t}}\), y = \(\cfrac{cos^3t}{\sqrt{cos\,2t}}\), find dy/dx.

sin3 t/√(cos 2t), cos3 t/√(cos 2t)

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Theorem: y and x are given in a different variable that is t. We can find dy/dx by finding dy/dt and dx/dt and then dividing them to get the required thing.

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