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:
The slope of the line can be interpreted that with each additional hour, nearly 18 customers are served; option B
<h3>What is the slope of a line?</h3>The slope of a line is the ratio of climb to that of run
Slope = change in y/change in x
The given graph is a graph of the number of hours an employee spends working a checkout line (x), against the number of customers served (y).
The slope of the graph can be written as follows:
Slope = change in the number of customers served/change in the number of hours an employee spends working
Therefore, the slope of the line can be interpreted that with each additional hour, nearly 18 customers are served.
In conclusion, slope of a line is ratio of change in y to change in x.
Learn more about slope at: brainly.com/question/16949303
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