Question

f(x)= 2x / (x-1)^2

find f'(x) and f''(x)

Answer 1

Can you diffrentiate it ?

Answer 2

but i'm not so sure of the f"(x) @hba

Answer 3

is this correct? i'm not so sure of my answer @hba

f ' (x) = -2x-2 / (x-1)^3

Answer 4

So

f'(x)=-2(x+1)/(x-1)^3


Now diffrentiate it again :)

Answer 5

Yes that is correct @alyannahere

Now diffrentiate it again

And you will get

f''(x)

Answer 6

i'm not so sure how to do that

is it -2x / 3(x-1)^2 ?

Answer 7

@alyannahere u know Quotient Rule

Answer 8

i think so. divide up by down ?

Answer 9

what i did is (-2x-2) X (x-1)^3 @Yahoo!

Answer 10

then i'm not so sure how to continue

Answer 11

f ' (x) = -2x-2 / (x-1)^3

Answer 12

For f''(x) ..Differentiate f'(x)

Answer 13

Using Quotient rule

Answer 14

is it (2x-6) / (x-1)^6 ? @Yahoo!

Answer 15

f ' (x) = -2x-2 / (x-1)^3 right?

Answer 16

yup. how do i make that f"(x)

Answer 17

look at this file

Answer 18

hi @amoodarya how did you get 4(x+2) / (x-1)^4

Answer 19

Good work @amoodarya ,You are right :)

Answer 20

oh i got it !!! careless mistake. thanks so much guys !!!

Answer 21

Welcome :)

Answer 22

look 2 file

Answer 23

Good use of wolfram alpha.

Answer 24

http://www.wolframalpha.com/widgets/gallery/
you can use it
also have step by step

Answer 25

No thanks.