How can I find all the derivatives of the function? [on hold]











up vote
-1
down vote

favorite












My function is the following



$[f(x)]^2 = e^x int_{1}^{x} t f(t) dt$
While $x epsilon mathbb{R}$



And I need to find all the differentiable functions for f
All I can think of is using the first fundemental theorem in calculus to get rid of the interval.






calculus derivatives







share|cite|improve this question















put on hold as off-topic by 5xum, Micah, user10354138, Lee David Chung Lin, Leucippus 11 hours 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 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." – Micah, user10354138, Lee David Chung Lin, Leucippus

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













  • What are you trying to calculate? The derivateives at a given point? Or something else?
    – 5xum
    yesterday















up vote
-1
down vote

favorite












My function is the following



$[f(x)]^2 = e^x int_{1}^{x} t f(t) dt$
While $x epsilon mathbb{R}$



And I need to find all the differentiable functions for f
All I can think of is using the first fundemental theorem in calculus to get rid of the interval.






calculus derivatives







share|cite|improve this question















put on hold as off-topic by 5xum, Micah, user10354138, Lee David Chung Lin, Leucippus 11 hours 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 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." – Micah, user10354138, Lee David Chung Lin, Leucippus

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













  • What are you trying to calculate? The derivateives at a given point? Or something else?
    – 5xum
    yesterday













up vote
-1
down vote

favorite









up vote
-1
down vote

favorite











My function is the following



$[f(x)]^2 = e^x int_{1}^{x} t f(t) dt$
While $x epsilon mathbb{R}$



And I need to find all the differentiable functions for f
All I can think of is using the first fundemental theorem in calculus to get rid of the interval.






calculus derivatives







share|cite|improve this question















My function is the following



$[f(x)]^2 = e^x int_{1}^{x} t f(t) dt$
While $x epsilon mathbb{R}$



And I need to find all the differentiable functions for f
All I can think of is using the first fundemental theorem in calculus to get rid of the interval.






calculus derivatives




calculus derivatives






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited yesterday

























asked yesterday









Nora

43




43




put on hold as off-topic by 5xum, Micah, user10354138, Lee David Chung Lin, Leucippus 11 hours 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 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." – Micah, user10354138, Lee David Chung Lin, Leucippus

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 5xum, Micah, user10354138, Lee David Chung Lin, Leucippus 11 hours 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 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." – Micah, user10354138, Lee David Chung Lin, Leucippus

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












  • What are you trying to calculate? The derivateives at a given point? Or something else?
    – 5xum
    yesterday


















  • What are you trying to calculate? The derivateives at a given point? Or something else?
    – 5xum
    yesterday
















What are you trying to calculate? The derivateives at a given point? Or something else?
– 5xum
yesterday




What are you trying to calculate? The derivateives at a given point? Or something else?
– 5xum
yesterday










1 Answer
1






active

oldest

votes

















up vote
1
down vote













First divide both sides by $e^x$, then differentiate; divide by $f(x)$ (assuming $f$ is not identically $0$), and solve the resulting differential equation with the initial condition $f(1)=0$.






share|cite|improve this answer




























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    1
    down vote













    First divide both sides by $e^x$, then differentiate; divide by $f(x)$ (assuming $f$ is not identically $0$), and solve the resulting differential equation with the initial condition $f(1)=0$.






    share|cite|improve this answer

























      up vote
      1
      down vote













      First divide both sides by $e^x$, then differentiate; divide by $f(x)$ (assuming $f$ is not identically $0$), and solve the resulting differential equation with the initial condition $f(1)=0$.






      share|cite|improve this answer























        up vote
        1
        down vote










        up vote
        1
        down vote









        First divide both sides by $e^x$, then differentiate; divide by $f(x)$ (assuming $f$ is not identically $0$), and solve the resulting differential equation with the initial condition $f(1)=0$.






        share|cite|improve this answer












        First divide both sides by $e^x$, then differentiate; divide by $f(x)$ (assuming $f$ is not identically $0$), and solve the resulting differential equation with the initial condition $f(1)=0$.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered yesterday









        Robert Israel

        312k23206452




        312k23206452















            -

            Popular posts from this blog

            mysqli_query(): Empty query in /home/lucindabrummitt/public_html/blog/wp-includes/wp-db.php on line 1924

            Image
            0 I just uploaded a new plugin to my wordpress site and I got this warning: mysqli_query(): Empty query in /home/lucindabrummitt/public_html/blog/wp-includes/wp-db.php on line 1924 Usually if I have a problem, I can find answers on google but this one seems pretty particular and I'm not finding any info on it except for this forum. I'm not terribly techie but if someone can tell me how to read this and how to change it I can follow directions pretty well. Thanks All! PS If I don't have the proper tags here could someone add the appropriate tags? php mysql wordpress share | improve this question asked Nov 16 '18 at 20:41 ...
            Read more

            How to change which sound is reproduced for terminal bell?

            Image
            3 Recently upgrade to 18.10 from 18.04, and using the terminal is becoming annoying: the new alert sound is a drip ( /usr/share/sounds/gnome/default/alerts/drip.ogg ), and the previous one is still located at ( /usr/share/sounds/ubuntu/stereo/bell.ogg ). My issue is that at the gnome-terminal, when autocompleting or pressing left BOTH sounds are reproduced, at the same time. I want to just have ubuntu/stereo/bell.ogg active, not both . At the moment I have been only able to reduce the volume of the alerts (but still both are played), or turn the alerts down (but I dislike both "solutions"). gnome-terminal 18.10 teminal-bell share | improve this question ...
            Read more

            Can I use Tabulator js library in my java Spring + Thymeleaf project?

            Image
            0 I want to add Tabulator js to my java project. I added tabulator.min.js, tabulator.min.css to resources folder. After that added to my html page these dependencies as recommending in readme.md. <link rel="stylesheet" th:href="@{/css/tabulator.min.css}"> <script type="text/javascript" th:src="@{/js/tabulator.min.js}"></script> Now my tables view all elements, that I have in the html page, but not correct. In the documentation of Tabulator is example how to create header and table, var table = new Tabulator("#example-table", { columns:[ {title:"Name", field:"name", sorter:"string", width:200, editor:true}, {title:"Age", field:"age", sorter:"...
            Read more