MCQEasyJEE Main 2024 · 29 January, Shift 2Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2024 · 29 January, Shift 2

The function f(x)=xx2−6x−16f(x) = \frac{x}{x^2 - 6x - 16}, x∈R∖{−2,8}x \in \mathbb{R} \setminus \{-2, 8\}, has:

  • A

    decreases in (−2,8)(-2, 8) and increases in (−∞,−2)∪(8,∞)(-\infty, -2) \cup (8, \infty)

  • B

    decreases in (−∞,−2)∪(−2,8)∪(8,∞)(-\infty, -2) \cup (-2, 8) \cup (8, \infty)

  • C

    decreases in (−∞,−2)(-\infty, -2) and increases in (8,∞)(8, \infty)

  • D

    increases in (−∞,−2)∪(−2,8)∪(8,∞)(-\infty, -2) \cup (-2, 8) \cup (8, \infty)

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Applications of Derivatives (Monotonicity, Extrema) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trialMore on Applications of Derivatives (Monotonicity, Extrema)

Related questions