$\"\"$

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The function is $\"\"$ .

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Domain :

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Domain of $\"\"$ is $\"\"$ .

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Domain of $\"\"$ is $\"\"$ .

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Range :

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Range of $\"\"$ is $\"\"$ .

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$\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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Derivative of inverse trigonometric functions: $\"\"$ .

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$\"\"$

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Again apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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To find the relative extrema, take $\"\"$ .

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$\"\"$ .

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Hence there are no solutions.

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No critical points.

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Extrema occurs at end points.

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Substitute $\"\"$ in the function $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in the function $\"\"$ .

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$\"\"$

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Compare the obtained values.

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Relative Minimum is $\"\"$ .

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Relative Maximum are $\"\"$ .

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$\"\"$

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To find the inflection points, take $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ are not in the domain of the function, hence they are not considered.

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No inflection points.

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$\"\"$

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To find the Horizontal asymptotes, consider $\"\"$ .

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$\"\"$ .

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$\"\"$

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The function is defined at $\"\"$ .

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$\"\"$ $\"\"$ .

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The horizontal asymptote is $\"\"$ .

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Substitute $\"\"$ in the function of $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ is not defined, hence no solution.

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No vertical asymptotes.

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$\"\"$

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Graph :

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The graph of $\"\"$ :

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$\"\"$

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$\"\"$

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Domain of $\"\"$ is $\"\"$ .

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Range of $\"\"$ is $\"\"$ .

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Relative Minimum is $\"\"$ .

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Relative Maximum are $\"\"$ .

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No inflection points.

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The horizontal asymptote is $\"\"$ .

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No vertical asymptotes.

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Graph:

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The graph of $\"\"$ :

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$\"\"$ .