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lvl10720-Turquoise
20-Turquoise
March 21, 2013
Solved

ln( ) , atan( ) functions , and derivative.

  • March 21, 2013
  • 2 replies
  • 2251 views

Hello, Everyone.

Derivative.PNG

Thanks in advance for your time and help.

Best Regards.

Best answer by AlanStevens

See attached.

Alan

2 replies

W
Werner_E25-Diamond I
25-Diamond I
March 21, 2013

Guess you know that F1 and F2 are equivalent expressions, their difference is zero.

Proof is easy, as the derivative is zero the diff itself has to be a constant. So evaluating the difference function at an arbitrary x yields zero.

To get Mathcad to simplify that diff to zero seems to be a hard to impossible task.

L
lvl10720-TurquoiseAuthor
20-Turquoise
March 22, 2013

Thanks for your response, Werner.

Regards.

L
lvl10720-TurquoiseAuthor
20-Turquoise
March 22, 2013

And the similar question :

Derivative2.PNG

Best Regards.

A
AlanStevens19-TanzaniteAnswer
19-Tanzanite
March 22, 2013

See attached.

Alan

W
Werner_E25-Diamond I
25-Diamond I
March 22, 2013

I'm not sure what your c(x) should show, but it was interested to see (graphing F1 and F2 didn't came to my mind) that F1 and F2 sem to be equivalent only for x>0.

x=0 being a special case which neither fits to the positive nor the negative x values and can be simplified (only with the additional use of max) quite nice.

deriv2.png

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