Finding Relative Extrema In Exercises 91-96, find the relative extrema of the trigonometric function in the interval
Use a graphing utility to confirm your results.
To calculate: The relative extrema of the trigonometric function
Given Information:
The provided trigonometric function is
Formula used:
Derivative of sine function is;
General power derivative rule is;
Condition for critical points is;
If function
From first derivative Test, if
In order words, if function
Calculation:
Consider the provided trigonometric function:
Differentiate the above function with respect to x using Sine and Power derivative rules as;
Apply
Since, the value of the
So,
And,
Thus, critical points are
Now consider the table as;
From above table,
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