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ammu123

  • 3 years ago

find the derivative of y with respect to x, t or theta. (a) e^7 - 10x (b) 8xe^x - 8e^x (c) y= (x^2 -2x+4)e^x (d) y= sin e^theta^4 please show the steps. thank you

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  1. cluo
    • 3 years ago
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    what is the derivative for a constant?

  2. ammu123
    • 3 years ago
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    zero?

  3. cluo
    • 3 years ago
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    yeah what about -10x?

  4. ammu123
    • 3 years ago
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    is it -10?

  5. cluo
    • 3 years ago
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    yes

  6. ammu123
    • 3 years ago
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    the answer to a is -10e^7-10x

  7. cluo
    • 3 years ago
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    is that the correct answer or your?

  8. ammu123
    • 3 years ago
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    thats the correct answer but i just dont know how to get it

  9. cluo
    • 3 years ago
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    (a) should be -10

  10. cluo
    • 3 years ago
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    I think your missing some information

  11. cluo
    • 3 years ago
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    is it y = e^7 - 10x?

  12. cluo
    • 3 years ago
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    or e^(7-10x)?

  13. ammu123
    • 3 years ago
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    i think we r suppose to use the u substitution method. no the answer is -10e^7-10x

  14. cluo
    • 3 years ago
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    what is the derivative of e^x?

  15. mjr632
    • 3 years ago
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    Are you familiar with the power rule and that any derivative of a constant will equal zero? \[\frac{d}{dx}(x^{n})=nx^{x-1}\]

  16. ammu123
    • 3 years ago
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    yea

  17. cluo
    • 3 years ago
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    the first one should be e^(7 - 10x)

  18. cluo
    • 3 years ago
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    do you know the derivative of e^x?

  19. ammu123
    • 3 years ago
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    no is it x?

  20. cluo
    • 3 years ago
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    no it is e^x

  21. cluo
    • 3 years ago
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    http://www.math.com/tables/derivatives/tableof.htm

  22. cluo
    • 3 years ago
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    do you know the chain rule?

  23. ammu123
    • 3 years ago
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    yes

  24. cluo
    • 3 years ago
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    okay so what is the first one?

  25. cluo
    • 3 years ago
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    You can pretend its e^u and u = 7-10x

  26. ammu123
    • 3 years ago
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    im not sure can u explain?

  27. cluo
    • 3 years ago
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    so what is the derivative of e^x?

  28. ammu123
    • 3 years ago
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    e^x

  29. cluo
    • 3 years ago
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    right what about e^u?

  30. ammu123
    • 3 years ago
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    e^u which is e^7-10x

  31. cluo
    • 3 years ago
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    right now you have to use the chain rule by taking du/dx and multiply to e^u

  32. cluo
    • 3 years ago
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    so du/dx * e^u is the answer.

  33. ammu123
    • 3 years ago
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    ok i think i got it! :)

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