Find frac{dy}{dx} if x-y=pi. | vedclass

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(A) Given the equation $x-y=\pi$. Method $1$: Express $y$ in terms of $x$: $y = x - \pi$. Differentiating both sides with respect to $x$: $\frac{dy}{d

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$1$

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(A) Given the equation $x-y=\pi$. Method $1$: Express $y$ in terms of $x$: $y = x - \pi$. Differentiating both sides with respect to $x$: $\frac{dy}{dx} = \frac{d}{dx}(x) - \frac{d}{dx}(\pi)$. Since the derivative of $x$ is $1$ and the derivative of a constant $\pi$ is $0$,we get: $\frac{dy}{dx} = 1 - 0 = 1$. Method $2$: Differentiating the given equation $x-y=\pi$ directly with respect to $x$: $\frac{d}{dx}(x) - \frac{d}{dx}(y) = \frac{d}{dx}(\pi)$. $1 - \frac{dy}{dx} = 0$. $\frac{dy}{dx} = 1$.

Find $\frac{dy}{dx}$ if $x-y=\pi$.

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