If , then…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

If xlog⁡ay+ylog⁡ax=5x \log_a y + y \log_a x = 5, then dydx\frac{dy}{dx} is (1) −yx(xlog⁡y+yx+ylog⁡x)-\frac{y}{x} \left( \frac{x \log y + y}{x + y \log x} \right) (2) −xy(xlog⁡y+yx+ylog⁡x)-\frac{x}{y} \left( \frac{x \log y + y}{x + y \log x} \right) (3) −yx(xlog⁡y−yx+ylog⁡x)-\frac{y}{x} \left( \frac{x \log y - y}{x + y \log x} \right) (4) None of these

Related theory

Browse the problem library