Find the slope of the normal to the curve `x=acos^3theta,y=sin^3theta`at `theta=pi/4`.

Explanation

To find the slope of the normal to the curve defined by the parametric equations \( x = a \cos^3 \theta \) and \( y = \sin^3 \theta \) at \( \theta = \frac{\pi}{4} \), we will follow these steps:

### Step 1: Find \( \frac{dx}{d\theta} \) and \( \frac{dy}{d\theta} \)

Given:
\[ x = a \cos^3 \theta \]
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