Find the point on the curve `y^2=4x` which is nearest to the point `(2,\ 1)` .

Explanation

To find the point on the curve \( y^2 = 4x \) that is nearest to the point \( (2, 1) \), we will follow these steps:

### Step 1: Define the Distance Function
We want to minimize the distance between a point \( (x, y) \) on the curve and the point \( (2, 1) \). The distance \( D \) can be expressed as:
\[ D = \sqrt{(x - 2)^2 + (y - 1)^2} \]
To simplify the calculations, we can minimize the square of the distance \( D^2 \):
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