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f(x) := x.cos(x) - sin(x) . Plotting local max-min-points ?

lvl107
19-Tanzanite

f(x) := x.cos(x) - sin(x) . Plotting local max-min-points ?

Hello Everyone.

f(x) := x.cos(x) - sin(x) . Plotting local max-min-points ?

3.PNG

Thanks in advance.
Regards.

1 ACCEPTED SOLUTION

Accepted Solutions
Werner_E
24-Ruby V
(To:lvl107)

You expect different answers than here

https://community.ptc.com/t5/PTC-Mathcad/x-cos-x-sin-x-0-solve-x/m-p/578062/highlight/true#M183000 

ore here

https://community.ptc.com/t5/PTC-Mathcad/Plotting-local-max-min-points/m-p/578354/highlight/true#M18...

?

 

Put your math together! You have to find the zeros of the first derivative. Either symbolically or numerically. You have all the tools necessary at hand!

Simply exclude those where the second derivative is zero, too. To be mathematically more precise you should exclude those where the first derivative with non-zero value is of an odd degree.

View solution in original post

2 REPLIES 2
lvl107
19-Tanzanite
(To:lvl107)

And : x.cos(x) - sin(x) solve, x ==> 10 solutions.

Regards.

Werner_E
24-Ruby V
(To:lvl107)

You expect different answers than here

https://community.ptc.com/t5/PTC-Mathcad/x-cos-x-sin-x-0-solve-x/m-p/578062/highlight/true#M183000 

ore here

https://community.ptc.com/t5/PTC-Mathcad/Plotting-local-max-min-points/m-p/578354/highlight/true#M18...

?

 

Put your math together! You have to find the zeros of the first derivative. Either symbolically or numerically. You have all the tools necessary at hand!

Simply exclude those where the second derivative is zero, too. To be mathematically more precise you should exclude those where the first derivative with non-zero value is of an odd degree.

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