Nann
2021-01-08
Answered

Find all the critical points of the function $f(x)=5{x}^{26}\text{}+\text{}12{x}^{5}\text{}-\text{}60{x}^{4}\text{}+\text{}56.$ Use the First and/or Second Derivative Test to determine whether each critical point is a local maximum, a local minimum, or neither. You may use either test, or both, but you must show your use of the test(s). You do not need to identify any global extrema.

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sweererlirumeX

Answered 2021-01-09
Author has **91** answers

Step 1

Consider the given function as

Note that the domain of the polynomial function

To identify the critical points, we have to solve the equation

Therefore,

Hence, the function

To get the y coordinate of the critical points, evaluate the function value at

When

When

When

Thus, the critical points of the function

Step 2

To identify whether the each of the above critical point is a local maximum, a local minimum, or neither, we use the first derivative test.

Split the domain

Check the sign of the first derivative

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Construct the

What does the result suggest about the mean wake time of 101.0 min before the treatment? Does the drug appear to be effective?

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(b) Consider the following statement: There is 9 95% chance that Is between 7.8 and 9.6. Is this statement correct? Why or why not?

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Round to three decimal places as needed - ?

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Assume the distribution of measurements to be approximately normal.

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