Find the maximum slope of the curve `y=-x^3+3x^2+2x-27` .

Explanation

To find the maximum slope of the curve given by the equation \( y = -x^3 + 3x^2 + 2x - 27 \), we will follow these steps:

### Step 1: Find the first derivative
The slope of the curve at any point is given by the first derivative of the function. We will differentiate \( y \) with respect to \( x \).

\[ y' = \frac{dy}{dx} = -3x^2 + 6x + 2 \]
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