1.Let f:R∖{0}→Rf:\mathbb{R}\setminus\{0\}\to\mathbb{R}f:R∖{0}→R be a function satisfying f (xy)=f(x)f(y)f\!\left(\frac{x}{y}\right)=\frac{f(x)}{f(y)}f(yx)=f(y)f(x) for all x,yx,yx,y, f(y)≠0f(y)\neq0f(y)=0. If f′(1)=2024f'(1)=2024f′(1)=2024, thena.xf′(x)−2024f(x)=0x f'(x)-2024 f(x)=0xf′(x)−2024f(x)=0b.xf′(x)+2024f(x)=0x f'(x)+2024 f(x)=0xf′(x)+2024f(x)=0c.xf′(x)+f(x)=2024x f'(x)+f(x)=2024xf′(x)+f(x)=2024d.xf′(x)−2023f(x)=0x f'(x)-2023 f(x)=0xf′(x)−2023f(x)=0Login to continueOnly logged in users canattempt or see the solution.
