defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Differential Calculus Evaluation of derivatives
If xy = ex - y then \(\frac{{dy}}{{dx}}\) is equal to
1
\(\frac{1}{y} - \frac{1}{{x - y}}\)
2
\(\frac{{\log x}}{{{{(1 + \log x)}^2}}}\)
3
\(\frac{{{e^x}}}{{{x^{x - y}}}}\)
4
\(\frac{{\log x}}{{\log (x - y)}}\)