Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lilg132

  • 2 years ago

differentiate

  • This Question is Closed
  1. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[M = 4.2e ^{2x} - 2.9e ^{-0.2x}\]

  2. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    okay well what is the derivative of e^x?

  3. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    xe? i dont know

  4. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it is e^x*x' and the derivative of x is 1 so you have e^x but in this case since you have 2x and -0.2x you need to bring those down and differentiate you know what I mean?

  5. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    crazy eh derivative of e^x is e^x!!

  6. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    LOL

  7. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no i dont explain further please :(

  8. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but that it isn't the end of your problem okay do you know how to take simple derivative like x^2? like do you know the power rule?

  9. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x^2 would be 2x?

  10. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    right just making sure.

  11. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay so when you see e^x you have e^x and when you see e^2x you get e^2x*(2x)' the ' means derivative. You understand? If not I don't mind continuing at all.

  12. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok.. e^2x * (2x)' is e^2x

  13. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no what is the derivative of 2x?

  14. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x^2 ?

  15. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    mindboggling

  16. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no that is the integral of 2x think about it like this. The derivative is the rate of change of the function so you are looking for the how fast the function is changing. so how fast is 2x changing?

  17. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry not how fast but by how much is it changing for each value of x

  18. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2?

  19. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    by 2?

  20. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes =) just for fun what is the derivative of 2?

  21. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    LOL erm not sure

  22. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1?

  23. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait its a constant

  24. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so 0

  25. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry I know I am dragging this out I just want to help you understand. Well think how much is the function y=2 changing over time right!! =)

  26. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    0

  27. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Anyway back to the problem

  28. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok :)

  29. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so if (e^2x)' = 2e^2x then what do you think (4.2e^2x)' = ?

  30. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    8.4e^2x

  31. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    please be right

  32. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    good stuff dude now how about (−2.9e^(−0.2x))' = ?

  33. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes you got it =) keep going you can do this

  34. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :D 0.58e^-0.2x?

  35. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I didn't check on the calculator but it looks right dude so now you just have to put the whole thing together you want to show me what that looks like?

  36. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok one second :D

  37. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    dm/dx = 8.4e^2x + 0.58e^-0.2x

  38. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    awesome dude high five! =)

  39. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    woooooooooooo !!!

  40. lilg132
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks alot mate appreciate it

  41. mathdood
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    not a problem =) thanks

  42. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.