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What expression does the "blue"-graph represent for ?

lvl107
20-Turquoise

What expression does the "blue"-graph represent for ?

Hello Everyone.

From :

I.PNGWhat expression does the "blue"-graph represent for ?

Thanks in advance.

Best Regards.

ACCEPTED SOLUTION

Accepted Solutions
Werner_E
25-Diamond I
(To:lvl107)

Use a numerical solution with either "root" or a solve block, as we had it here already so often

View solution in original post

7 REPLIES 7
LucMeekes
23-Emerald III
(To:lvl107)

LM_20181106_Derivative.png

Success!
Luc

Werner_E
25-Diamond I
(To:lvl107)

Luc is using Mathcad 11 with Maple as symbolics engine.

His sheet does not work for Mathcad 15 with muPad

Here is a workaround.

After all we don't need the exact derivative of the floor-expression (step function) which is all zero but with Dirac spikes at the odd multiples of pi. So substituting it with a constant does the job in MC15

B.PNG

 

lvl107
20-Turquoise
(To:lvl107)

Plotting the local maximum-points of the 'red' ?

II.PNGRegards.

Werner_E
25-Diamond I
(To:lvl107)

Use a numerical solution with either "root" or a solve block, as we had it here already so often

lvl107
20-Turquoise
(To:Werner_E)

III.PNG

Adding -2*pi to the one old root ( the old 'red' point ) to get another new root ( another new 'red' point (backward to the left) )  is correct or not ? ( yes or no for periodic property ?) 

Werner_E
25-Diamond I
(To:lvl107)

no, its not periodic

lvl107
20-Turquoise
(To:lvl107)

IV.PNGPlotting the local maximum-points of the 'red' ?
V.PNG

 

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