If `y=(1)/(3x^(3))` then prove that `3y+x(dy)/(dx)=0`.

Explanation

To prove that \( 3y + x \frac{dy}{dx} = 0 \) given that \( y = \frac{1}{3x^3} \), we will follow these steps:

### Step 1: Differentiate \( y \) with respect to \( x \)

Given:
\[ y = \frac{1}{3x^3} \]
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