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Home » To rationalize the denominator, multiply the numerator and denominator by \(\sqrt3\): - Feedz API

To rationalize the denominator, multiply the numerator and denominator by \(\sqrt3\): - Feedz API

📅 May 18, 2026 👤 scraface

May 18, 2026

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Set the derivative to zero:
\[ \frac{2x + 4}{x^2 + 4x + 5} = 0 \]
The numerator must be zero, so:
\[ 2x + 4 = 0 \]
\[ x = -2 \]
Verify that this is a maximum by checking the second derivative or usi...
The second derivative is:
\[ R''(x) = \frac{(2)(x^2 + 4x + 5) - (2x + 4)(2x + 4)}{(x^2 + 4x + 5)...
Evaluating \( R''(-2) \) shows it is positive, indicating a local mini...
As \( x \to \pm \infty \), \( R(x) \) approaches \( \ln(x^2) \to \inft...

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