Find the equations of the tangent and normal to the parabola `y^2=4a x`at the point `(a t^2,2a t)`.

Explanation

To find the equations of the tangent and normal to the parabola \( y^2 = 4ax \) at the point \( (at^2, 2at) \), we can follow these steps:

### Step 1: Differentiate the parabola
We start with the equation of the parabola:
\[ y^2 = 4ax \]
Differentiating both sides with respect to \( x \):
...