Finding Relative Extrema In Exercises 53-62, find the relative extrema of the trigonometric function in the interval
See Examples 6 and 7.
To calculate: The relative extrema of the trigonometric function
Given Information:
The provided trigonometric function is
Formula used:
Sine derivative Rule:
General power derivative rule:
Condition for critical points:
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.
Further solve.
Apply
Further solve.
Further solve.
And,
Since, the value of the
And,
Thus, critical points are
Now, rewrite the first derivative of the function.
At
At
At
At
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