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anonymous

  • 5 years ago

How do you do the derivative of f(x) = sin(x^2 + ln(x + e^x))?

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  1. anonymous
    • 5 years ago
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    ok here you will use the chain rule.. many times.. first the derivative of sin you will get cos(x^2 + Ln(x+e^x)

  2. anonymous
    • 5 years ago
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    then you will multiply it by the derivative of the inside.. cos(x^2 + Ln(x+e^x) * 2x+1/x+e^x

  3. anonymous
    • 5 years ago
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    then you will have to multiply all of that of with the derivative of ln's function so you will finally get os(x^2 + Ln(x+e^x) * 2x+(1/x+e^x ) * (1+e^x)

  4. anonymous
    • 5 years ago
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    keep in mind that the derivative of ln(x) is 1/x and e^x is e^x

  5. anonymous
    • 5 years ago
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    thank you so much! really helps

  6. anonymous
    • 5 years ago
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    no problem.. I actually just had my final exam on that course :P

  7. anonymous
    • 5 years ago
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    mine is in 5 hours, and im getting confused with a lot of things, especially inverse trig . like intergral arctan x dx stuff like that

  8. anonymous
    • 5 years ago
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    I could help you! im not doing anything right now.. by the way what is the name of your textbook? we might have the same one

  9. anonymous
    • 5 years ago
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    Calculus concepts and contexts by James Stewart

  10. anonymous
    • 5 years ago
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    I'm just really confused with acrtan, arcsin, and arccos, and how to find their derivative and antiderivative

  11. anonymous
    • 5 years ago
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    I have james stewart book too.. but the single variable one with the violin on the cover lol... what helped me the most with these is re write everything in a tables

  12. anonymous
    • 5 years ago
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    ya me its the 4th edition

  13. anonymous
    • 5 years ago
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    when they ask you what is the antiderivative of 1/1+6^2 you know that its is the arctan(6) right? im just giving you a very simple example here lol

  14. anonymous
    • 5 years ago
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    no i ddint't know that, i know that 1/1+x^2 is arccos or arcsin haha not too sure to be honest, i've never been able to grasp the concept of inverse trig.

  15. anonymous
    • 5 years ago
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    ok its confusing I know but arcsin and arccos are exaclty the same with one - sign difference so arcsine is 1/sqrt(1-x^2) and arccos is -1/sqrt(1-x^2)

  16. anonymous
    • 5 years ago
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    arctan is the different one its 1/1+x^2 Do you have the solution manual with your textbook? it reaaaaaally helps to solve exercises and find them in the solution manual

  17. anonymous
    • 5 years ago
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    now just a practice exam, my prof was terrrrible to be honest.

  18. anonymous
    • 5 years ago
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    Oh trust me.. I failed it the first time I did this course.. they are All horrible.. lol

  19. anonymous
    • 5 years ago
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    so then would the intergral of arctan x dx, just be 1/1+x^2?

  20. anonymous
    • 5 years ago
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    Exaaaaaaaaaaaaaaaaactly!

  21. anonymous
    • 5 years ago
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    Btw did you find this website thru paul's online notes? cuz I was doing linear algebra when I saw your question on the side lol... linear algebra succccccks and paul's online notes for calculus are amazing

  22. anonymous
    • 5 years ago
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    ya haha thats how i found it.

  23. anonymous
    • 5 years ago
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    kk so if u dont mind can i ask u another question?

  24. anonymous
    • 5 years ago
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    no sure go ahead

  25. anonymous
    • 5 years ago
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    integral of t^2e^3t, how do i proceed? do i simplify it first?

  26. anonymous
    • 5 years ago
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    ok well you know that the derivative of e^x is e^x and when u integrate t^2 is 1/3 t^3 right? I just find it helpful to do them speratly but just give me one sec to recheck on somthing

  27. anonymous
    • 5 years ago
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    ya i knwo that, its because there multiplied that im confused :S

  28. anonymous
    • 5 years ago
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    yeah thats what im checking up on lol

  29. anonymous
    • 5 years ago
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    ok so you have to use the tabular method.. where you integrate by parts..did u ever do this in class?

  30. anonymous
    • 5 years ago
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    i think it has to do with substitution. but dont know how to do taht yet ha. pelletty. lol

  31. anonymous
    • 5 years ago
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    nope

  32. anonymous
    • 5 years ago
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    im telling you ym prof was useless.

  33. anonymous
    • 5 years ago
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    LOL ok I found a really good website to help u with it.. check it out and I'll still be here if u have Q's http://www.hyper-ad.com/tutoring/int_parts.htm

  34. anonymous
    • 5 years ago
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    thanks man, i really appreciate it

  35. anonymous
    • 5 years ago
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    no problem.. I know exactly how u feel lol..

  36. anonymous
    • 5 years ago
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    how do you intergrate e^3t

  37. anonymous
    • 5 years ago
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    its e^3t/3

  38. anonymous
    • 5 years ago
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    everytime?, because won't the exponent increment?

  39. anonymous
    • 5 years ago
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    well yeah,. actually... I have no idea.. but I would do it that way.. sorry man

  40. anonymous
    • 5 years ago
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    it's cool man, uve been a good help. thnx again!

  41. anonymous
    • 5 years ago
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    Im glad to help really good luck!

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