Find the points on the curve `y=x^3`at which the slope of the tangent is equal to the y-coordinate of the point.

Explanation

To find the points on the curve \( y = x^3 \) where the slope of the tangent is equal to the y-coordinate of the point, we can follow these steps:

### Step 1: Find the derivative of the curve
The first step is to find the derivative of the function \( y = x^3 \) to determine the slope of the tangent line at any point \( x \).

\[ \frac{dy}{dx} = 3x^2 \]
...