Question

find the derivative using the chain rule. (problem attached)

Answer 1

\[f(v) = \left( \frac{1 -2v }{ 1+v } \right)^{3}\]

Answer 2

ohh it was power of 3!!!!

Answer 3

grrrrrr

Answer 4

i have to do it all over again

Answer 5

haha and you're using the chain rule right?

Answer 6

yes it is the chain rule but i thought it was to the power of 2

Answer 7

\[f'(v) = 3*(\frac{ 1-2v }{ 1+v })^2*(\frac{ 1-2v }{ 1+v })'\]

Answer 8

\[ = 3*(\frac{ 1-2v }{ 1+v })^2*\frac{ -2(1+v)-1(1-2v) }{ (1+v)^2 }\]

Answer 9

\[ = 3*(\frac{ 1-2v }{ 1+v })^2*\frac{ -2-2v-1+2v }{ (1+v)^2 }\]

Answer 10

\[ = 3*(\frac{ 1-2v }{ 1+v })^2*\frac{ -3 }{ (1+v)^2 }\]

Answer 11

\[ = -9*\frac{ (1-2v)^2 }{ (1+v )^4 }\]

Answer 12

done. lol

Answer 13

sorry for the misunderstanding at the beginning .. in fact i always see ^3 as ^2 for some reason :| and i already wear glasses!!!

Answer 14

are you there ? :)

Answer 15

wow thanks so much for doing all that! and i understand it (: and hahaha dont worry if i didnt have my contacts in i wouldnt be able to read any of this.

Answer 16

yes.. well the important thing is that you understand :)

Answer 17

i go to sleep now its 2:49 am in here .. good night :O

Answer 18

oh wow. its 8:50pm here haha. goodnight! thanks again for your help.