List of top Mathematics Questions on Differential Calculus asked in SRMJEEE

if \(x=\frac{3at}{(a+t^3)},y=\frac{3at^2}{(1+t^3)}, then \frac{dy}{dx }at \,\,t=\frac{1}{2}\) is

If \(x^2+y^2=t-\frac{1}{t}\) and \(x^4+y^4=t^2+\frac{1}{t^2}\), then \(\frac{x}{y}\frac{dy}{dx}\) is equal to