Given:
Consider the completer question is "Find the derivative
for
."
To find:
The derivative
.
Solution:
Chain rule: 
Quotient rule: ![\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Cdfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%3D%5Cdfrac%7Bg%28x%29f%27%28x%29-f%28x%29g%27%28x%29%7D%7B%5Bg%28x%29%5D%5E2%7D)
We have,

Differentiate with respect to x.

Using chain rule and quotient rule, we get




Therefore, the required answer is
.
Hello there.
Question: <span>Mr. Nicolas is putting up strings of blue and white lights for the holidays. The ratio of blue to white lights is 5 to 6. If he has 77 strings, how many strings are white lights?
Answer: 5:6
Add the numbers:
5 + 6 = 11
Divide this number by the total:
77/11 = 7
Multiply values by this number:
5 x 7 = 35
6 x 7 = 42
To check:
35 + 42 = 77.
Therefore your answer is 42.
</span>Hope This Helps You!
Good Luck Studying ^-^
Answer:
zero goats and 120 Ilamas to get profit of $15,120
Step-by-step explanation:
Goats: G
Ilamas: l
Explicit constraints:
2G + 5l ≤ 400
100G+ 80l≤ 13,200
Implicit constraints
G≥0
I≥0
P= 84G+ 126l
See attachment for optimal area
substituting coordinats of optimal region in profit equation to get profit
When G= 132, l=0
P=84(132) + 126(0)
P=11,088
When G=0, l=120
P=84(0)+ 126(120)
P = 15120
When G= 100, l=40
P=84(100)+126(40)
P=13440
The numbers -9 and -4 add up to -13 and multiply to get 36
I hope this helped :)
Answer:
the markup is 1016%
Step-by-step explanation: