Find the derivative of the following w.r.t. x :
`x-y=pi`

Answer

To find the derivative of the equation \( x - y = \pi \) with respect to \( x \), we will follow these steps:

1. **Differentiate both sides of the equation with respect to \( x \)**:
\[ \frac{d}{dx}(x - y) = \frac{d}{dx}(\pi) \]

2. **Apply the differentiation**:
- The derivative of \( x \) with respect to \( x \) is \( 1 \).
- The derivative of \( y \) with respect to \( x \) is \( \frac{dy}{dx} \) (using implicit differentiation).
- The derivative of a constant \( \pi \) is \( 0 \).

Thus, we have:
\[ 1 - \frac{dy}{dx} = 0 \]

3. **Rearranging the equation**:
\[ \frac{dy}{dx} = 1 \]

Therefore, the derivative of \( y \) with respect to \( x \) is:
\[ \frac{dy}{dx} = 1 \]