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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

|dw:1444277745264:dw|

2. MTALHAHASSAN2

I get f1(x) = 1/(x+1)

3. triciaal

then take the derivative of that

4. MTALHAHASSAN2

F2(x)=1/2(x+1)

5. triciaal

|dw:1444278472990:dw|

6. triciaal

|dw:1444278582128:dw|

7. triciaal

@dan815 @Directrix please verify

8. MTALHAHASSAN2

hey I am still very confuse with it

9. MTALHAHASSAN2

|dw:1444290942838:dw|

10. triciaal

yes I did above

11. MTALHAHASSAN2

@directrix I do get that but I am struggle with the second one

12. triciaal

|dw:1444280370149:dw|

13. triciaal

@zepdrix

14. triciaal

@zepdrix thanks

15. zepdrix

$\large\rm f'(x)=\frac{2}{(x+1)^2}$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

@triciaal is correct |dw:1444282442944:dw| And, f''(x) = (-4)/(x+1)^3

17. triciaal

@MTALHAHASSAN2

18. triciaal

|dw:1444283880287:dw|

19. triciaal

|dw:1444283972527:dw|

20. triciaal

|dw:1444284157990:dw|

21. triciaal

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

|dw:1444284521015:dw|

23. triciaal

|dw:1444285027191:dw|

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