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anonymous

  • one year ago

Find the derivative of f(x) = 6 divided by x at x = -2.

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  1. butterflydreamer
    • one year ago
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    any idea on how to differentiate 6/x ?

  2. anonymous
    • one year ago
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    no

  3. butterflydreamer
    • one year ago
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    |dw:1436537631593:dw|

  4. anonymous
    • one year ago
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    ok

  5. butterflydreamer
    • one year ago
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    so now, what we're basically trying to differentiate is : |dw:1436537787461:dw| So in your question, can you tell me what "k" and "n" will be?

  6. butterflydreamer
    • one year ago
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    |dw:1436537961857:dw| can you see that "k" would be 6 and "n" would be -1 ? :)

  7. anonymous
    • one year ago
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    Yes. Thanks.

  8. butterflydreamer
    • one year ago
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    sooo do you know where to go from here? :)

  9. anonymous
    • one year ago
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    No idea. I haven't done this stuff in forever

  10. butterflydreamer
    • one year ago
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    oh well k = 6, n = -1 so plug it into the formula in the red box

  11. anonymous
    • one year ago
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    [6x^-1] = 6x (-1)x^-1-1

  12. anonymous
    • one year ago
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    6 times (-1)

  13. butterflydreamer
    • one year ago
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    correct :) so now just simplify the exponent part "-1-1"

  14. anonymous
    • one year ago
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    so ^-2

  15. butterflydreamer
    • one year ago
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    yeppp, so basically: |dw:1436538315144:dw|

  16. anonymous
    • one year ago
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    Ok.

  17. butterflydreamer
    • one year ago
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    now you sub in x = 2 into the above and you'll have your answer :)

  18. anonymous
    • one year ago
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    so 6/4 or 3/2

  19. butterflydreamer
    • one year ago
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    you're forgetting your negative sign

  20. anonymous
    • one year ago
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    yeah

  21. anonymous
    • one year ago
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    thanks

  22. butterflydreamer
    • one year ago
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    You're welcome :)!

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