The function is .
Derivative on each side with respect to .
Derivative of inverse trigonometric functions: .
To find the relative extrema, solve .
Squares on each side.
\Let .
The above equation is in the form of a quadratic equation
The roots of the quadratic equation is .
Compare with
.
Substitute in above value.
.
The negative root is not considered since, can not be negative.
Critical point is
Substitute in
.
The point is .
Substitute in
.
The point is .
.
Derivative on each side with respect to .
Identify the nature of the extrema points.
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \Point | Sign of ![]() | Conclusion |
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| Relative maximum |
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| Relative minimum |
The relative maximum point is .
The relative minimum point is .