Answer:
![\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D-%5B%28%5Cfrac%7B5x%2B24%7D%7B36x-6x%5E2%7D%29%5D)
Step-by-step explanation:
Given function:
y =
we know
= ln(A) - ln(B)
thus,
y = 
or
also,
ln(Aⁿ) = n × ln(A)
thus,
y = 
therefore,
![\frac{dy}{dx}=[(\frac{3}{2})\times\frac{1}{(6-x)}\times(0 - 1)] - [ (\frac{2}{3})\times\frac{1}{x}\times1]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5B%28%5Cfrac%7B3%7D%7B2%7D%29%5Ctimes%5Cfrac%7B1%7D%7B%286-x%29%7D%5Ctimes%280%20-%201%29%5D%20-%20%5B%20%28%5Cfrac%7B2%7D%7B3%7D%29%5Ctimes%5Cfrac%7B1%7D%7Bx%7D%5Ctimes1%5D)
or

or
![\frac{dy}{dx}=-[(\frac{3(3x)+2\times2(6-x)}{2(6-x)\times(3x)})]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D-%5B%28%5Cfrac%7B3%283x%29%2B2%5Ctimes2%286-x%29%7D%7B2%286-x%29%5Ctimes%283x%29%7D%29%5D)
or
![\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D-%5B%28%5Cfrac%7B5x%2B24%7D%7B36x-6x%5E2%7D%29%5D)
Multiply the first bracket by 6.
Multiply the second bracket by 8
6(x+1)-5x= 8+2(x-1)
6(x)+6(1)-5x= 8+2(x)+2(-1)
6x+6-5x= 8+2x-2
6x-5x+6= 8-2+2x
x+6= 6+2x
Move +2x to the other side. Sign changes from +2x to -2x.
x-2x+6= 6+2x-2x
-x+6= 6
Move +6 to the other side. Sign changes from +6 to -6.
-x+6-6= 6-6
-x=0
Multiply by -1 for -x and 0
-x(-1)= 0(-1)
x= 0
Answer: x= 0
Answer:
Step-by-step explanation:
a 10 ---10 asi b aritmetic a x2 b geometric
Answer:
sorry i don't know
Step-by-step explanation:
The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the. Definition: Thedistributive property lets you multiply a sum by multiplying each addend separately and then add the products.