Question

Find the derivative of y with respect to x

y= ln (1-x)/((x+2)^5)

Answer 1

anyone please!!

Answer 2

\[\left(\frac{a[x]}{b[x]}\right)'=\frac{a'[x]}{b[x]}-\frac{a[x] b'[x]}{b[x]^2} \]where a(x)=Log(1 - x) and b(x)=(x+2)^5

Answer 3

Is just the answer satisfactory?

Answer 4

hmm.

Answer 5

i dont get what the answer is.

Answer 6

\[-\frac{1}{(1-x) (x+2)^5}-\frac{5 \log (1-x)}{(x+2)^6} \]

Answer 7

i got ln (1-x)(5(x+2)^4 all over (x+2)^10

Answer 8

i dont have that as a choice.

Answer 9

try separating expanding the logarthm first:
\[\large y=ln\frac{1-x}{(x+2)^5}=ln(1-x)-5ln(x+2) \]

Answer 10

what happened to the so we dont need to make it 5 ln (x+2)^4?

Answer 11

i think finding the derivative will be easier from here if you use y'/y

Answer 12

@MegMegs4 , no... it's the property of logs...\(\large log_bM^n=nlog_bM \)

Answer 13

oh ok i think thats where i was making my mistake.

Answer 14

so i got.... -1/(1-x) - 5/(x+2)

Answer 15

that looks good...:)

Answer 16

ok but it isnt one of my answer choices.

Answer 17

subtract them....

Answer 18

my choices are a. (x+2)^5 / (1-x)
b. ln (6x-7)/(x+2)^6
c. 4x-7 / (x+2)(1-x)
d. 4x-7 /(x+2)^6

Answer 19

im trying it now.

Answer 20

yea... it looks as though they did subtract them..

Answer 21

so the answer is c!! thank you . you are so smart!!

Answer 22

that's what i got..

Answer 23

thanks...
yw..:)

Answer 24

@dpaInc

Isn't the problem equation the following ?\[y=\frac{\log (1-x)}{(x+2)^5} \]