Question

How do you find the derivative of 9/(5-x)

Answer 1

what r ur suggestions for answers?

Answer 2

I'm a little lost all together, do I have to use the quotient rule in this case?

Answer 3

idk ill figure that out for u.

Answer 4

Thanks

Answer 5

ur welcome

Answer 6

do u mean the distributive?

Answer 7

the quotient rule of f' (x)g(x) - f(x) g'(x) all divided by g(x)2

Answer 8

you do not have to use the quotient rule that i know of

Answer 9

so how would i go about it

Answer 10

ill explain. but read this carefully k?
i am using this sigh # for divide k?

Answer 11

ok

Answer 12

so the answer is.
(9#5)-(9#X) ur just dividing 9 by all the numbers or letters in the paranthesis. make sense?

Answer 13

so 9/5 - 9/x? why is that?

Answer 14

you can use quotient rule,
but there's a simpler way to get the derivative

treat that as \(9*(5-x)^{-1} \)
seee, now there's no denominator....

Answer 15

idt thats right im in college math.

Answer 16

I can use the power rule after that right? then it would come out to be -9 *(5-x)^0?

Answer 17

I am too

Answer 18

okay and i dont think so

Answer 19

you can use power rule, but have you been yet taught the chain rule ?

Answer 20

No we haven't talked about the chain rule yet

Answer 21

then you must use here the Quotient rule!

Answer 22

you know the formula
can you figure out whats f(x) and g(x) in it ?

Answer 23

thats where i get lost

Answer 24

the numerator is f(x) and denominator is g(x)
as simple as that

Answer 25

9/(5-x)
9 (5 - x)^-1
- 9(5 - x)^-2 (-1) chain rule
9/(5 - x)^2