Step 1:

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The function $\"\"$ .

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

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$\"\"$

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$\"\"$

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The function $\"\"$ is one-to-one because $\"\"$ on $\"\"$ .

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The function $\"\"$ has inverse function.

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Using inverse function derivatives formula $\"\"$ .

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To find $\"\"$ .

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$\"\"$

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$\"\"$

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By using inspection method find value of $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Solution:

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$\"\"$

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Rewrite the function $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$ .

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

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$\"\"$

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Using differentiation formula $\"\"$

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$\"\"$

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using differentiation formula of inverse functions is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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