subspaces question involving calculus. [closed]

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I forget, what are some differentiable functions that are not polynomials? What are some continuous functions that aren't differentiable? What are some integrable functions that are not continuous?



Polynomials are any terms like 5, 5x, 5xy, 5x + y, etc that don't involve division by variables right? So what is an example of a function here that is differentiable that isn't a polynomial?




linear-algebra




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closed as off-topic by José Carlos Santos, Leucippus, Delta-u, Jendrik Stelzner, A. Goodier Aug 29 at 11:25


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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Leucippus, Delta-u, Jendrik Stelzner, A. Goodier
If this question can be reworded to fit the rules in the help center, please edit the question.












  • $f(x) = sin x$ is a good example of a differentiable, non-polynomial function.
    – Randall
    Aug 28 at 15:05










  • $F(x)=|x|$ is a continuous function which is non-differentiable at $0$. There are worse examples.
    – lulu
    Aug 28 at 15:08














up vote
-2
down vote

favorite












I am reading this text:



enter image description here



I forget, what are some differentiable functions that are not polynomials? What are some continuous functions that aren't differentiable? What are some integrable functions that are not continuous?



Polynomials are any terms like 5, 5x, 5xy, 5x + y, etc that don't involve division by variables right? So what is an example of a function here that is differentiable that isn't a polynomial?




linear-algebra




share|cite|improve this question












closed as off-topic by José Carlos Santos, Leucippus, Delta-u, Jendrik Stelzner, A. Goodier Aug 29 at 11:25


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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Leucippus, Delta-u, Jendrik Stelzner, A. Goodier
If this question can be reworded to fit the rules in the help center, please edit the question.












  • $f(x) = sin x$ is a good example of a differentiable, non-polynomial function.
    – Randall
    Aug 28 at 15:05










  • $F(x)=|x|$ is a continuous function which is non-differentiable at $0$. There are worse examples.
    – lulu
    Aug 28 at 15:08












up vote
-2
down vote

favorite









up vote
-2
down vote

favorite











I am reading this text:



enter image description here



I forget, what are some differentiable functions that are not polynomials? What are some continuous functions that aren't differentiable? What are some integrable functions that are not continuous?



Polynomials are any terms like 5, 5x, 5xy, 5x + y, etc that don't involve division by variables right? So what is an example of a function here that is differentiable that isn't a polynomial?




linear-algebra




share|cite|improve this question












I am reading this text:



enter image description here



I forget, what are some differentiable functions that are not polynomials? What are some continuous functions that aren't differentiable? What are some integrable functions that are not continuous?



Polynomials are any terms like 5, 5x, 5xy, 5x + y, etc that don't involve division by variables right? So what is an example of a function here that is differentiable that isn't a polynomial?





linear-algebra





share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Aug 28 at 15:04









Jwan622

1,75711224




1,75711224




closed as off-topic by José Carlos Santos, Leucippus, Delta-u, Jendrik Stelzner, A. Goodier Aug 29 at 11:25


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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Leucippus, Delta-u, Jendrik Stelzner, A. Goodier
If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by José Carlos Santos, Leucippus, Delta-u, Jendrik Stelzner, A. Goodier Aug 29 at 11:25


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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Leucippus, Delta-u, Jendrik Stelzner, A. Goodier
If this question can be reworded to fit the rules in the help center, please edit the question.











  • $f(x) = sin x$ is a good example of a differentiable, non-polynomial function.
    – Randall
    Aug 28 at 15:05










  • $F(x)=|x|$ is a continuous function which is non-differentiable at $0$. There are worse examples.
    – lulu
    Aug 28 at 15:08
















  • $f(x) = sin x$ is a good example of a differentiable, non-polynomial function.
    – Randall
    Aug 28 at 15:05










  • $F(x)=|x|$ is a continuous function which is non-differentiable at $0$. There are worse examples.
    – lulu
    Aug 28 at 15:08















$f(x) = sin x$ is a good example of a differentiable, non-polynomial function.
– Randall
Aug 28 at 15:05




$f(x) = sin x$ is a good example of a differentiable, non-polynomial function.
– Randall
Aug 28 at 15:05












$F(x)=|x|$ is a continuous function which is non-differentiable at $0$. There are worse examples.
– lulu
Aug 28 at 15:08




$F(x)=|x|$ is a continuous function which is non-differentiable at $0$. There are worse examples.
– lulu
Aug 28 at 15:08










1 Answer
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  1. $e^x$, $sin x$, etc. differentiable, but not polynomials,


  2. $|x|$ continuous, but not differentiable at 0.


  3. $f(x)=begincases0 text when $x<0$\1text when $xgeq0$ endcases$ integrable, but not continuous.


They are very basic examples.






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    1 Answer
    1






    active

    oldest

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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

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    active

    oldest

    votes








    up vote
    2
    down vote













    1. $e^x$, $sin x$, etc. differentiable, but not polynomials,


    2. $|x|$ continuous, but not differentiable at 0.


    3. $f(x)=begincases0 text when $x<0$\1text when $xgeq0$ endcases$ integrable, but not continuous.


    They are very basic examples.






    share|cite|improve this answer
























      up vote
      2
      down vote













      1. $e^x$, $sin x$, etc. differentiable, but not polynomials,


      2. $|x|$ continuous, but not differentiable at 0.


      3. $f(x)=begincases0 text when $x<0$\1text when $xgeq0$ endcases$ integrable, but not continuous.


      They are very basic examples.






      share|cite|improve this answer






















        up vote
        2
        down vote










        up vote
        2
        down vote









        1. $e^x$, $sin x$, etc. differentiable, but not polynomials,


        2. $|x|$ continuous, but not differentiable at 0.


        3. $f(x)=begincases0 text when $x<0$\1text when $xgeq0$ endcases$ integrable, but not continuous.


        They are very basic examples.






        share|cite|improve this answer












        1. $e^x$, $sin x$, etc. differentiable, but not polynomials,


        2. $|x|$ continuous, but not differentiable at 0.


        3. $f(x)=begincases0 text when $x<0$\1text when $xgeq0$ endcases$ integrable, but not continuous.


        They are very basic examples.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Aug 28 at 15:11









        Przemysław Scherwentke

        11.8k52751




        11.8k52751












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