Question

find derivative of 3x/x+1 with respect to x

Answer 1

$$\begin{gathered} \frac{d}{dx}\left(\frac{3x}{x+1}\right) \\ As\frac{d}{dx}\left(\frac{u}{v}\right)=\frac{u\text{'}v-v\text{'}u}{v^2} \\ So\frac{d}{dx}\left(\frac{3x}{x+1}\right)=\frac{3(x+1)-3x}{(x+1{)}^2}=\frac{3}{(x+1{)}^2}\left(ans\right) \end{gathered}$$