Find `(dy)/(dx)` in each of the following: `x y=c^2`

Explanation

To find \(\frac{dy}{dx}\) for the equation \(xy = c^2\), we will use implicit differentiation. Here’s the step-by-step solution:

### Step 1: Differentiate both sides with respect to \(x\)
We start with the equation:
\[ xy = c^2 \]
Differentiating both sides with respect to \(x\):
...