Let
and
. By the product rule,

By the power rule, we have
and
, but
are functions of
, so we also need to apply the chain rule:


and we have


So we end up with

Replace
to get everything in terms of
:

We can simplify this by factoring:


Answer:
<h2>20</h2>
Step-by-step explanation:

Divide both 6 and 10 by 2 to get 3/5
Multiply both 6 and 10 by 2 to get 12/20
Answer: 6 is the y intercept
Step-by-step explanation:
Answer: 143 hamburgers and 429 cheese burgers
Explanation:
Call h and c the number of both items.
(h-hamburger and c-cheeseburger)
h + c = 572
c = 3h
Sub the second into the first
h + 3h = 572
4h = 572
Divide both sides by 4
h = 143 hamburgers
Use this back into the second equation
c = 3 • 143 = 429 cheeseburgers