Find the differential of w = ln /x² + 3y² + 2z²

Here we use chain rule of differentiation to find the required differential.

According to chain rule of differentiation,

       $$\begin{gathered} \frac{d}{dx}u\left(v\left(x\right)\right) = \frac{du}{dx}\frac{dv\left(x\right)}{dx} \\ some basic formulas are, \\ \frac{d}{dx}\log \left(x\right) = \frac{1}{x} \\ \frac{d}{dx}\sqrt{x} = \frac{1}{2\sqrt{x}} \\ \frac{d{x}^n}{dx} = n{x}^{n-1} \end{gathered}$$