Geogebra gives wrong derivative for following function f(x)=sin(x)^cos(x
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Geogebra gives wrong derivative for following simple function f(x)=sin(x)^cos(x). It gives f'(x)=cos(x)(I have Lenovo and windows 10). My sister's (macbook) gives the right derivative f'(x)=-ln(sin(x))*sin^(cos(x)+1)+cos(x)^2*sin(x)^(cos(x)-1).
The same question 
GG Classic 5 and 6 both give the right derivate. The Graphic Calculator produces the right graph for it. So what do you mean with "Geogebra produces"? At least we know your sister is using a macbook and you're using windows 10, but which version or app of GeoGebra are you using? This is what GG 5 & 6 Classic give me on a my laptop with win10.
I confirm that
ggb6n.jpg - before pressing Enter
ggb6na.jpg - after pressing Enter
First, I just said I got the right derivate and asked about what version kaisa was using, since there was just a description and no file nor screen capture picture.
Second I us the same GG5 as you, but the position of cos in the equation is different.
For the different result in GG6 I've got no explanation.
In the CAS window
and in Geogebra 6 too
efectivamente el CAS transforma cualquier expresion que resulte sin(x)^cos(x) en sin(x)^1 incluso la expresion sin(x)^(cotan(x)*sin(x)) es transformada
creo recordar que este bug ya estuvo entre nosotros hace seis meses y parece que ahora vuelve
This is definitely a bug. It is at least in GG5, GG6, GeoGebra CAS and Calcultor Suite.
M
Please try v590
problem persist in ver5
also online
v591 online now
Thanks, works OK in GeoGebra 5.
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