I suppose you mean
Differentiate one term at a time.
Rewrite the first term as
Then the product rule says
Then with the power and chain rules,
Simplify this a bit by factoring out 
:
For the second term, recall that
Then by the chain rule,
So we have
and we can simplify this by factoring out 
to end up with
Answer:
Length = x - 4 meters
Step-by-step explanation:
Area of a rectangle = length × width
Area of a rectangle = x² - 16
width of the rectangle = x + 4 meters.
Length of the rectangle = ?
Recall:
Difference of two perfect square x² - 16 = (x + 4)(x - 4)
Area of a rectangle = length × width
(x + 4)(x - 4) = length * x + 4
Length = (x + 4)(x - 4) ÷ x + 4
Length = x - 4 meters
- a) An observation.
- b) A variable.
- c) A population parameter.
- d) A sample statistic.
Given that a survey asked the question, "Do you think a vaccination should be mandatory to enter shopping areas?" to a random sample of 1068 Jordanians, and the results showed that 71.2% responded that vaccination should mandatory, to determine which of the following is an observation, a variable, a sample statistic (value calculated based on the observed sample), or a population parameter, the following statistical reasoning must be performed:
(a) A Jordanian that was asked the question.
-An observation, as the person questioned is part of the study and therefore, it is an individual observation that makes up the trend.
(b) The response of the Jordanian.
-A variable, since it is one of the two possible answers that the survey has.
(c) 71.2%.
-A population parameter, because it represents a specific percentage with respect to the total population.
(d) The percentage of all Jordanians who agreed with the statement that vaccination should be mandatory to enter shopping areas.
-A sample statistic, since it is a statistical element that arises from the survey.
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