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MTALHAHASSAN2

  • one year ago

Determine the second derivative of each of the following: F(x)= 2x/x+1

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  1. triciaal
    • one year ago
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    |dw:1444277745264:dw|

  2. MTALHAHASSAN2
    • one year ago
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    I get f1(x) = 1/(x+1)

  3. triciaal
    • one year ago
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    then take the derivative of that

  4. MTALHAHASSAN2
    • one year ago
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    F2(x)=1/2(x+1)

  5. triciaal
    • one year ago
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    |dw:1444278472990:dw|

  6. triciaal
    • one year ago
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    |dw:1444278582128:dw|

  7. triciaal
    • one year ago
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    @dan815 @Directrix please verify

  8. MTALHAHASSAN2
    • one year ago
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    hey I am still very confuse with it

  9. MTALHAHASSAN2
    • one year ago
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    |dw:1444290942838:dw|

  10. triciaal
    • one year ago
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    yes I did above

  11. MTALHAHASSAN2
    • one year ago
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    @directrix I do get that but I am struggle with the second one

  12. triciaal
    • one year ago
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    |dw:1444280370149:dw|

  13. triciaal
    • one year ago
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    @zepdrix

  14. triciaal
    • one year ago
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    @zepdrix thanks

  15. zepdrix
    • one year ago
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    \[\large\rm f'(x)=\frac{2}{(x+1)^2}\]You can apply your exponent rule,\[\large\rm f'(x)=2(x+1)^{-2}\]And this allows you to avoid quotient rule a second time if you like. Simply power rule from here.

  16. Directrix
    • one year ago
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    @triciaal is correct |dw:1444282442944:dw| And, f''(x) = (-4)/(x+1)^3

  17. triciaal
    • one year ago
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    @MTALHAHASSAN2

  18. triciaal
    • one year ago
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    |dw:1444283880287:dw|

  19. triciaal
    • one year ago
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    |dw:1444283972527:dw|

  20. triciaal
    • one year ago
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    |dw:1444284157990:dw|

  21. triciaal
    • one year ago
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    what I did originally was just use the quotient rule a second time. what @zepdrix suggested was applied here. (remember multiplication and division are complements).

  22. triciaal
    • one year ago
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    |dw:1444284521015:dw|

  23. triciaal
    • one year ago
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    |dw:1444285027191:dw|

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