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lilg132 Group Title

differentiate

  • 2 years ago
  • 2 years ago

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  1. lilg132 Group Title
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    \[M = 4.2e ^{2x} - 2.9e ^{-0.2x}\]

    • 2 years ago
  2. mathdood Group Title
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    okay well what is the derivative of e^x?

    • 2 years ago
  3. lilg132 Group Title
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    xe? i dont know

    • 2 years ago
  4. mathdood Group Title
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    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?

    • 2 years ago
  5. mathdood Group Title
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    crazy eh derivative of e^x is e^x!!

    • 2 years ago
  6. lilg132 Group Title
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    LOL

    • 2 years ago
  7. lilg132 Group Title
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    no i dont explain further please :(

    • 2 years ago
  8. mathdood Group Title
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    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?

    • 2 years ago
  9. lilg132 Group Title
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    x^2 would be 2x?

    • 2 years ago
  10. mathdood Group Title
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    right just making sure.

    • 2 years ago
  11. mathdood Group Title
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    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.

    • 2 years ago
  12. lilg132 Group Title
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    ok.. e^2x * (2x)' is e^2x

    • 2 years ago
  13. mathdood Group Title
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    no what is the derivative of 2x?

    • 2 years ago
  14. lilg132 Group Title
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    x^2 ?

    • 2 years ago
  15. lilg132 Group Title
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    mindboggling

    • 2 years ago
  16. mathdood Group Title
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    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?

    • 2 years ago
  17. mathdood Group Title
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    sorry not how fast but by how much is it changing for each value of x

    • 2 years ago
  18. lilg132 Group Title
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    2?

    • 2 years ago
  19. lilg132 Group Title
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    by 2?

    • 2 years ago
  20. mathdood Group Title
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    yes =) just for fun what is the derivative of 2?

    • 2 years ago
  21. lilg132 Group Title
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    LOL erm not sure

    • 2 years ago
  22. lilg132 Group Title
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    1?

    • 2 years ago
  23. lilg132 Group Title
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    wait its a constant

    • 2 years ago
  24. lilg132 Group Title
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    so 0

    • 2 years ago
  25. mathdood Group Title
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    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!! =)

    • 2 years ago
  26. mathdood Group Title
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    0

    • 2 years ago
  27. mathdood Group Title
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    Anyway back to the problem

    • 2 years ago
  28. lilg132 Group Title
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    ok :)

    • 2 years ago
  29. mathdood Group Title
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    so if (e^2x)' = 2e^2x then what do you think (4.2e^2x)' = ?

    • 2 years ago
  30. lilg132 Group Title
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    8.4e^2x

    • 2 years ago
  31. lilg132 Group Title
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    please be right

    • 2 years ago
  32. mathdood Group Title
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    good stuff dude now how about (−2.9e^(−0.2x))' = ?

    • 2 years ago
  33. mathdood Group Title
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    yes you got it =) keep going you can do this

    • 2 years ago
  34. lilg132 Group Title
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    :D 0.58e^-0.2x?

    • 2 years ago
  35. mathdood Group Title
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    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?

    • 2 years ago
  36. lilg132 Group Title
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    ok one second :D

    • 2 years ago
  37. lilg132 Group Title
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    dm/dx = 8.4e^2x + 0.58e^-0.2x

    • 2 years ago
  38. mathdood Group Title
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    awesome dude high five! =)

    • 2 years ago
  39. lilg132 Group Title
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    woooooooooooo !!!

    • 2 years ago
  40. lilg132 Group Title
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    thanks alot mate appreciate it

    • 2 years ago
  41. mathdood Group Title
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    not a problem =) thanks

    • 2 years ago
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