Answer:
frdg
Step-by-step explanation:
Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)
![f'(x) = \frac{h'(x)*k(x) - k'(x)*h(x)}{k^2(x)}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7Bh%27%28x%29%2Ak%28x%29%20-%20k%27%28x%29%2Ah%28x%29%7D%7Bk%5E2%28x%29%7D)
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:
![f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7BCos%28x%29%2A%281%20-%20Cos%28x%29%29%20-%20Sin%28x%29%2ASin%28x%29%7D%7B%281%20-%20Cos%28x%29%29%5E2%7D)
Now we can simplify that:
![f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2} = \frac{Cos(x) - Cos^2(x) - Sin^2(x)}{(1 - Cos(x))^2}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7BCos%28x%29%2A%281%20-%20Cos%28x%29%29%20-%20Sin%28x%29%2ASin%28x%29%7D%7B%281%20-%20Cos%28x%29%29%5E2%7D%20%3D%20%5Cfrac%7BCos%28x%29%20-%20Cos%5E2%28x%29%20-%20Sin%5E2%28x%29%7D%7B%281%20-%20Cos%28x%29%29%5E2%7D)
And we know that:
cos^2(x) + sin^2(x) = 1
then:
![f'(x) = \frac{Cos(x)- 1}{(1 - Cos(x))^2} = - \frac{(1 - Cos(x))}{(1 - Cos(x))^2} = \frac{-1}{1 - Cos(x)}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7BCos%28x%29-%201%7D%7B%281%20-%20Cos%28x%29%29%5E2%7D%20%3D%20-%20%5Cfrac%7B%281%20-%20Cos%28x%29%29%7D%7B%281%20-%20Cos%28x%29%29%5E2%7D%20%3D%20%5Cfrac%7B-1%7D%7B1%20-%20Cos%28x%29%7D)
Answer:
About 62.1371
Step-by-step explanation:
Answer:
<h2>C) Public Company Accounting Oversight Board</h2><h3>(PCAOB)</h3>
Step-by-step explanation:
The PCAOB is a nonprofit corporation established by Congress to oversee the audits of public companies in order to protect investors and further the public interest in the preparation of informative, accurate, and independent audit reports.
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