Question

okay can someone walk me through this, i dont have an example in my book for finding marginal demand. D(p) =(6p+250) / (8p+19), what is the marginal demand D'(p)

Answer 1

Notice that it is D(p) given and D'(p) being asked for?

Answer 2

yes

Answer 3

And the prime means....

Answer 4

its a derivative

Answer 5

or i have to find the derivative

Answer 6

D'(p) is a derivative. D(p) is not. So to get D'(p) from D(p).... yah, and they really expect you to figure that out just from one little mark.

Answer 7

So quotent rule and there you go.

Answer 8

okay i have the quotient rule. i'll give it a shot. think you can double check my answer for me in a minute?

Answer 9

ok.

Answer 10

2114 / [8p+19] squared ???

Answer 11

2114? Fergot to distribute your -

Answer 12

not seeing what you're asking. followed book example exactly

Answer 13

\[\frac{6(8p+19)-8(6p+250)}{(8p+19)^2}\implies \frac{48p+144-48p-2000}{(8p+19)^2}\]

Answer 14

Algebra mistake, the - distributes.

90% of calculus is algebra and trig and even arithmetic. That is where we all make the misakes.

Answer 15

6x19 is 114

Answer 16

Yes, but what is: \(-8\times 250\)?

Answer 17

oh i see. you know ive missed questions on every test because i fail to account for negative numbers
total mental block

Answer 18

so the numerator is 1886

Answer 19

Hehe. Yah, the minus sign is kind of like pants. Emberassing when dropped at the wrong time.

Answer 20

\[\frac{-1886}{(8p+19)^2}\]

Answer 21

thanks much for your help. I'm feeling alot more confident about m understanding of this stuff today. Hopefully it will stick.

Answer 22

have a good one

Answer 23

Don't have too much fun!