Derivatives and continuous expansion of $sin x^{|cos x|}$ [on hold]












-1















At all points of the domain determine the existence or calculate the (one-sided) derivatives of the function $(sin x)^{|cos x|}$. Can this function be continuously extended?




Honestly I am quite stumped by this problem. Any help would be appreciated.






real-analysis calculus derivatives







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put on hold as off-topic by metamorphy, stressed out, RRL, onurcanbektas, Abcd 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – metamorphy, stressed out, onurcanbektas, Abcd

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  • 1




    There is problem with definition of the power when $sin, x <0$. Perhaps you have to consider the domain as ${x: sin, x>0}$.
    – Kavi Rama Murthy
    Jan 3 at 23:41
















-1















At all points of the domain determine the existence or calculate the (one-sided) derivatives of the function $(sin x)^{|cos x|}$. Can this function be continuously extended?




Honestly I am quite stumped by this problem. Any help would be appreciated.






real-analysis calculus derivatives







share|cite|improve this question















put on hold as off-topic by metamorphy, stressed out, RRL, onurcanbektas, Abcd 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – metamorphy, stressed out, onurcanbektas, Abcd

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 1




    There is problem with definition of the power when $sin, x <0$. Perhaps you have to consider the domain as ${x: sin, x>0}$.
    – Kavi Rama Murthy
    Jan 3 at 23:41














-1












-1








-1


1






At all points of the domain determine the existence or calculate the (one-sided) derivatives of the function $(sin x)^{|cos x|}$. Can this function be continuously extended?




Honestly I am quite stumped by this problem. Any help would be appreciated.






real-analysis calculus derivatives







share|cite|improve this question
















At all points of the domain determine the existence or calculate the (one-sided) derivatives of the function $(sin x)^{|cos x|}$. Can this function be continuously extended?




Honestly I am quite stumped by this problem. Any help would be appreciated.






real-analysis calculus derivatives




real-analysis calculus derivatives






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 3 at 22:45

























asked Jan 3 at 22:24









J. Lastin

1005




1005




put on hold as off-topic by metamorphy, stressed out, RRL, onurcanbektas, Abcd 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – metamorphy, stressed out, onurcanbektas, Abcd

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by metamorphy, stressed out, RRL, onurcanbektas, Abcd 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – metamorphy, stressed out, onurcanbektas, Abcd

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    There is problem with definition of the power when $sin, x <0$. Perhaps you have to consider the domain as ${x: sin, x>0}$.
    – Kavi Rama Murthy
    Jan 3 at 23:41














  • 1




    There is problem with definition of the power when $sin, x <0$. Perhaps you have to consider the domain as ${x: sin, x>0}$.
    – Kavi Rama Murthy
    Jan 3 at 23:41








1




1




There is problem with definition of the power when $sin, x <0$. Perhaps you have to consider the domain as ${x: sin, x>0}$.
– Kavi Rama Murthy
Jan 3 at 23:41




There is problem with definition of the power when $sin, x <0$. Perhaps you have to consider the domain as ${x: sin, x>0}$.
– Kavi Rama Murthy
Jan 3 at 23:41










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