How would I find peak gradient downward and upward slope, ascending descending middle points, and corresponding x indices using script.

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My data looks like this
I had found the gradient of this y data and then was able to find out peaks and valleys but don't know how do I find peak gradient upward and downward slope, midpoints, and mainly I am interested in their x indices.
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aneeqa bashir
aneeqa bashir el 1 de Mzo. de 2017
upward and downward slope and mid point is the middle point of rise/fall. have a look at the attached figure.

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