First, find the derivative and set it equal to zero to get the stationary point. Then, take the second derivative and substitute the x-value—if the result is negative, it’s a maximum. Just yesterday, I was doing this exact problem under the fan’s whir, and my pen leaked all over the critical ‘if f''(x) < 0’ line. My mother saw the mess and said, “Soukhyam, your worry is more permanent than this ink,” reminding me that even a proven maximum can feel like a very small victory.
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