Wolfram Alpha: How to find inflections points of functions involving arbitrary real constants

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One of the WA demos shows how to find the inflection points of the following function: $x+\sin(x)$.

How would you ask WA to find the inflection points of functions like $x+\sin(ax)$ or $a+bx+\sin(cx)$, where $a,b,c$ are arbitrary real constants?

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I would ask for the second derivative, which is $-c^2\sin(cx)$ and then look at the points where it changes sign, i.e. $x_k=k\pi/c$ with $k\in\mathbb Z$.