Question

If f(3)=−3, g(3)=9, f′(3)=4, and g′(3)=−1, find the following numbers:

{f/(f-g)}' (3) = ______

Answer 1

we are given all the values...I just dont think I should use the quotient rule for this question. The question before this was [f/g]' (3) = ___ and I used the quotient rule for that and got the correct answer. But, the denominator for this question has stumped me. I don't know what to do with the f-g in the denominator...quotient rule doesnt make sense.

Answer 2

just input 3-9 and proceed?

Answer 3

that doesnt work

Answer 4

\[\frac{ d(\frac{ f }{ f-g }) }{ dx}=(f-g)*\frac{ d f }{ dx }-\frac{ f*d(f-g) }{ dx }\]

Answer 5

how is it formatted?
\(\huge [{\frac{f}{(f-g)}}]'(3)\)?

Answer 6

this will be your numerator

Answer 7

\[(f-g)^2\]

Answer 8

is your denominator

Answer 9

yea it's formatted that way. let me check gorv's work..

Answer 10

quotient rule

Answer 11

as wedont know the f what it is
so df/dx=f '

Answer 12

or in place of x you can take any other variable

Answer 13

f on differentiated will be written as f '

Answer 14

oh wow that's confusing

Answer 15

first numerator
(f-g) * f ' - f( f ' - g ')

Answer 16

which one???

Answer 17

the numerator

Answer 18

you know quoteint rule???

Answer 19

he's just applying the quotient rule \(\huge \frac{d}{dx}\frac{u}{v}=\frac{u'v-uv'}{v^2}\)

Answer 20

we dont know the variable or f is function of x , y, z etc

Answer 21

see @bibby posted the quoteint rule

Answer 22

oh I get it!!! you used (f'-g') as being g'(x)

Answer 23

g' (x) = g' i used

Answer 24

and g(x) is just (f-g)

Answer 25

can u do it now??

Answer 26

no no no

Answer 27

that we have to calculate
f/(f-g)

Answer 28

f and g are different

Answer 29

I know the quotient rule...i'm trying to figure out what values you placed for g(x)f'(x) - ....

Answer 30

ohhhhhh
wait

Answer 31

I think by "g(x)=(f-g)
they just meant the denominator is being treated as a term itself

Answer 32

f(x)/g(x)

Answer 33

yeah

Answer 34

if you considering this than g(x)= f-g

Answer 35

yeah u r right now just solve it

Answer 36

and tell us what u got ...so we can leave happily :P

Answer 37

yes!! ! okay im going to solve it! and ill let you know if I get it correct. it's all online

Answer 38

hahaha ok! give me a min

Answer 39

yeah waitinnnnnn

Answer 40

I can't leave happily with this depression :'(

Answer 41

wehooooo!!!!!! got it right. -33/144

Answer 42

you ok bibby?

Answer 43

Thanks gorv and bibby!

Answer 44

okkk ...bibby what happened????????

Answer 45

Yeah, it was a joke :D
good job

Answer 46

your explanations were great!