94a6b4…: “Outside of a silver book”

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Let $M(k) = -3(k+2)^2 - 5$ be a quadratic function.

$M'(k) = \answer {-6(k+2)}$.

$M'(k) = 0$ at $k = \answer {-2}$.

$M'(k) > 0$ on $\left ( \answer {-\infty }, \answer {-2} \right )$.

$M'(k) < 0$ on $\left ( \answer {-2}, \answer {\infty } \right )$.

$M(k)$ increases on $\left ( \answer {-\infty }, \answer {-2} \right )$.

$M(k)$ decreases on $\left ( \answer {-2}, \answer {\infty } \right )$.

The maximum of $M(k)$ is located at $k = \answer {-2}$.

2025-05-18 05:17:43