Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

A fellow student was showing off by quickly have his ti-nspire solve the homework problems. Just wondering if there is any derivative that the ti-nspire would mess up on.

Just where is the limit of ability of the CAS system available.

share|improve this question
3  
The problem is that differentiating most functions you'd think of is trivial. It could possibly be tricked with something like $\sum^\infty_{n=0}a^n \cos b^nx$ (it's nowhere differentiable). Honestly though, I have no clue how capable that system is. –  Karolis Juodelė Nov 8 '12 at 14:53
    
I would try to play around on Wolfram Alpha. Chances are, if Wolfram Alpha can't do the derivative then neither can the calculator. –  EuYu Nov 8 '12 at 15:51
    
I would conjecture that there are infinitely many derivatives (which exist) which the calculator cannot do. –  Arkamis Nov 8 '12 at 15:56
2  
A related game is to find integrals that computer algebra systems should be able to do, but can't, because they don't understand what they're doing. One such example is $\int dx/(x^{10000}-1)$. –  Ben Crowell Nov 8 '12 at 15:58
    
@Ben: Would you mind expanding your comment a bit? I have no intuition for why a CAS "should" be able to do that integral, nor do I know what you mean by "they don't understand what they're doing." –  Jason DeVito Nov 8 '12 at 16:50
show 2 more comments

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.