Question

first derivative of 5.5x^.6/x-285/x-.55squareroot of "x"/x

Answer 1

My apologies for not thoroughly reading your first post.

Do you have this so far?
\[1/(500-0)\int\limits_{0}^{500}(R(x)-C(x))dx\]

Answer 2

huh? =/ we haven't gotten to that yet...

Answer 3

My bad again for taking it too far :)

Do you have this?
(R(x) - C(x)) / x

Answer 4

So you got the average profit already, now you are looking for the marginal?

Answer 5

Then it should be (R(500) - C(500)) / 500

I don't have each of the functions to calculate. You shouldn't need the derivative unless you are looking for marginal.

Answer 6

here's the question: Find the rate at which the average profit is changing when 500 bottles of apple juice have been produced and sold. The R(x)= 5.5x^.6 and C(x)=385+.55squareroot of "x"

Answer 7

\[d/dx(5.5x ^{-.4}-385x ^{-1}+.55x ^{-.5} )\]Correct?

Answer 8

wait OOPS its 285. and 285 doesn't have an "x"

Answer 9

and yeah for the other numbers I got the same exact derivative as you

Answer 10

This should be the derivative.\[P \prime(x)=(-.4)(5.5)x ^{-1.4}-(-1)(285)x ^{-2}+(-.5)(.55)x ^{-1.5}\]

Answer 11

we're on the same page up to there.. :) so from there evaluate it at 500 right?

Answer 12

That's what it should be, correct.

Answer 13

hmm ok lemme give it a shot :)

Answer 14

so to make it easier I should make the negative exponents denominators right to make em positive? (while evaluating)

Answer 15

If you prefer. It will evaluate the same way. Are you using a TI calculator?

Answer 16

I am and apparently i'm doing something wrong! My answers is wrong -.-

Answer 17

*answer is

Answer 18

0.00075 using significant figures

Answer 19

OMG! Thank you :( imma work to see where my calcualtions r going wrong

Answer 20

On your calculator:
(-2.2)500^(-1.4)+(285)500^(-2)-(.275)500^(-1.5)

Answer 21

yeah I just plugged in the whole thing and I got the same answer :) THANK YOU!!!!!

Answer 22

I've not got to mess with calculus in a while, so if you want to be a 'fan', I would love to help you as you move through the semester.

Answer 23

absolutely! your personality and your technique are perfect :) I get it when u explain it! Do u mind if I ask you for another question?