No, Maria Theresia did not only rule in Austria. She was also the ruler of the Holy Roman Empire, which included territories in present-day Germany, Czech Republic, and Italy. Maria Theresia was a powerful and influential monarch who implemented various reforms and policies across her vast empire. **

No, 4K resolution is not only available for YouTube premium members. YouTube offers 4K resolution videos to all users, both free and premium. However, the ability to stream videos in 4K resolution may depend on the device being used and the internet connection speed. Some older devices or slower internet connections may not support 4K streaming. **

Only non-foreign enemies rule Germany because the country's constitution prohibits foreign nationals from holding the office of the Chancellor or any other high-ranking political position. This provision is in place to ensure that the country's leadership is not influenced by external interests and to maintain the sovereignty of the German government. Additionally, it is a reflection of the country's commitment to self-governance and the principle of national independence. **

No, the octet rule does not only apply to nonmetals. The octet rule states that atoms tend to gain, lose, or share electrons in order to have a full outer shell of 8 electrons, which is the most stable configuration. This applies to both nonmetals and metals. However, there are some exceptions to the octet rule for certain elements, particularly those in the third row of the periodic table and beyond. **

The product rule is being applied here because the problem involves finding the derivative of a function that is the product of two other functions. The product rule states that the derivative of a product of two functions is the first function times the derivative of the second function, plus the second function times the derivative of the first function. The chain rule, on the other hand, is used when the function is composed of one function inside another, and it involves taking the derivative of the outer function and then multiplying it by the derivative of the inner function. Since the problem does not involve a composition of functions, only the product rule is being applied. **

L'Hopital's rule is only applicable to functions, not sequences. Sequences are a list of numbers, while functions are mathematical expressions that map input values to output values. L'Hopital's rule can be used to determine the limit of a function under certain conditions, but it cannot be directly applied to sequences. To find the limit of a sequence, one typically uses properties of sequences or other techniques specific to sequences. **

In the given expression, we are differentiating the product of two functions, f(x) and g(x), with respect to x. The product rule states that the derivative of a product of two functions is the derivative of the first function times the second function, plus the first function times the derivative of the second function. The chain rule, on the other hand, is used when we have a composition of functions, where one function is applied to the output of another function. Since we are only dealing with the product of two functions in this case, and not a composition of functions, we are only applying the product rule. **

L'Hospital's rule is only applicable to functions, not sequences. It can be used to determine the limit of a function as it approaches a specific value. However, for sequences, one would typically use other methods such as the squeeze theorem or the limit definition of a sequence to determine the limit. Therefore, L'Hospital's rule cannot be used for sequences. **