Find the equation of the normal at the point `(a m^2,a m^3)`for the curve `a y^2=x^3`.

Explanation

To find the equation of the normal at the point \((a m^2, a m^3)\) for the curve \(a y^2 = x^3\), we will follow these steps:

### Step 1: Differentiate the curve
The given curve is:
\[ a y^2 = x^3 \]
To find the slope of the tangent line, we need to differentiate this equation with respect to \(x\).
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