Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)

In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:

Now we can simplify that:

And we know that:
cos^2(x) + sin^2(x) = 1
then:

Answer:
C) 
Step-by-step explanation:

4 pounds. if you divide the number of pounds by gallons you get the amount of pounds per gallon. 8 divided by 2 is 4.
The domain is the range of the x-axis. In this situation the x range from 0 to 11, so the domain is D.