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What does it mean to differentiate $\pi$? Is it similar to constant thus $0$?
3 Answers
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Above is the plot for $f(x) = \pi^2$. Note that the slope at any point on this graph is zero. Hence, $f^\prime(x) = 0$.
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It does not matter what sort of constant it is, what really matters is that, it is a constant.
As we know, the derivatives of constants are $0$.
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"What does it mean to differentiate a constant?"
Imagine the following $\frac{f(x+dx)-f(x)}{dx}=\frac{\pi^2-\pi^2}{dx}$ The RHS is clearly zero. Therefore the derivative $\frac{df(x)}{dx}$ is also zero.
