Electric potential in a region is given by `V=12x^(2)+3y^(2)+z^(2)`. Calculate the electric field intensity at point (1m, 3m, 2m).

Explanation

To calculate the electric field intensity at the point (1m, 3m, 2m) given the electric potential \( V = 12x^2 + 3y^2 + z^2 \), we will follow these steps:

### Step 1: Understand the relationship between electric potential and electric field
The electric field \( \mathbf{E} \) is related to the electric potential \( V \) by the equation:
\[ \mathbf{E} = -\nabla V \]
where \( \nabla V \) is the gradient of the potential.
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