$\"\"$

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The function is $\"\"$ .

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Domain :

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

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

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

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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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$\"\"$ .

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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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$\"\"$

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

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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, we have to know where $\"\"$ or is undefined.

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore the inflection point is at $\"\"$ .

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$\"\"$

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Find asymptote of function $\"\"$ .

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To find horizontal asymptote $\"\"$ .

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$\"\"$ .

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No solutions because $\"\"$ does not approcah infinity in either direction.

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No horizontal asymptote.

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The function has no denominator and the function is true for all real values.

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The function has no vertical asymptote.

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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 $\"\"$ , $\"\"$ or $\"\"$ .

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Relative Minimum is $\"\"$ .

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Relative Maximum are $\"\"$ .

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Inflection point is at $\"\"$ .

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No horizantal and vertical asymptotes.

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Graph:

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The graph of $\"\"$ is

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$\"\"$ .