Find dy/dx, when If x = (sin^3t)/(√(cos 2t)), y = (cos^3t)/(√(cos 2 t)), find dy/dx

Question

Find \(\cfrac{dy}{d\mathrm x} \), when

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

Answer 1

as x = \(\cfrac{sin^3t}{\sqrt{cos\,2\,t}}\)

Then \(\cfrac{d\text x}{dt} \) = \(\cfrac{d}{dt} \) \(\Big[\cfrac{sin^3t}{\sqrt{cos\,2\,t}}\Big]\)