Wolfram Alpha "x = derivative x"

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Asking Wolfram Alpha $x = \text{derivative } x$, I was expecting $e^x$, being that the derivative of $e^x$ is $e^x$, Wolfram Alpha however yields $x = 1$.

Is this stating that the derivative of a line that in its entirety has an infinite slope, also has an infinite slope?

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Wolfram Alpha interprets it as $x = x'(x)$, i.e. $x = \dfrac{dx}{dx} = 1$
It's nothing about slope.

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It's interpreting your question as "$x=\frac{{d}x}{dx}$", and $\frac{{d}x}{dx}$ is 1.