Analyzing a Function In Exercises 75-80, use a graphing utility to (a) graph f and f’ in the same viewing window over the specified interval, (b) find the critical numbers of f, (c) find the open interval(s) on which f' is positive and the open interval(s) on which f' is negative, and (d) find the relative extrema in the interval.
To graph: The function and its first derivatives by using graphic calculator over the interval .
The provided function is and the specified interval is .
Consider the provided function:
The steps used to graph the function and its first derivatives by using graphic calculator Ti-83 are as follows:
Step 1: Press button and then press button.
Step 2: Then, enter the function as .
Step 3: After then, select by clicking on down button .
Step 4: Then, go to and select or press 8. A new window appears as .
Step 5: Now select and press right arrow key to select “function”, once function is selected, select function
To calculate: The critical points of the trigonometric function over the interval .
The interval over which the derivative of the trigonometric function is increasing and decreasing over the interval .
The relative extremes of the function in the interval .
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