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📅 May 19, 2026 👤 scraface

May 19, 2026

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📝 Recent Posts

To maximize \( R(x) = \ln(x^2 + 4x + 5) \), we first find the derivati...
Differentiate \( R(x) \):
\[ R'(x) = \frac{d}{dx}[\ln(x^2 + 4x + 5)] = \frac{2x + 4}{x^2 + 4x +...
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:

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