Câu 17 😁😁😁😁😁😁😁😁😁😁😁😁…..

Câu 17 😁😁😁😁😁😁😁😁😁😁😁😁…..

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  1. Đáp án:

    Giải thích các bước giải:

    \[\begin{array}{l}
    y = \frac{{x + 2}}{{x + 5m}};y’ = \frac{{5m – 2}}{{{{\left( {x + 5m} \right)}^2}}}\\
    Hs\,dong\,bien\,tren\,\left( { – \infty ; – 10} \right) \Leftrightarrow y’ > 0\,\,\,\forall x \in \left( { – \infty ; – 10} \right)\\
    \Leftrightarrow \left\{ \begin{array}{l}
    5m – 2 > 0\\
    – 5m \notin \left( { – \infty ; – 10} \right)
    \end{array} \right. \Leftrightarrow \left\{ \begin{array}{l}
    m > \frac{2}{5}\\
    – 5m \ge – 10
    \end{array} \right. \Leftrightarrow \left\{ \begin{array}{l}
    m > \frac{2}{5}\\
    m \le 2
    \end{array} \right.\\
    \Leftrightarrow \frac{2}{5} < m \le 2 \end{array}\]

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