20-Turquoise

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

Forum|Forum|7 years ago
November 6, 2018
3 replies
3032 views

Hello Everyone.

From :

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

Thanks in advance.

Best Regards.

Math Homework

Best answer by Werner_E

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

23-Emerald IV

Success!
Luc

1_LM_20181106_Derivative.zip

25-Diamond I

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

Author

20-Turquoise

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

Regards.

Answer

25-Diamond I

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

Author

20-Turquoise

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 ?)