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Application of Derivatives question

2024 · 29 Jan · Shift 2 · Q36

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2024 · 29 Jan · Shift 2 · Q36

Application of Derivatives question

2024 · 29 Jan · Shift 2 · Q36

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

The function

f(x)=\frac{x}{x^2-6 x-16}, x \in \mathbb{R}-\{-2,8\}

A
decreases in $(-\infty,-2) \cup(-2,8) \cup(8, \infty)$
B
increases in $(-\infty,-2) \cup(-2,8) \cup(8, \infty)$
C
decreases in $(-2,8)$ and increases in $(-\infty,-2) \cup(8, \infty)$
D
decreases in $(-\infty,-2)$ and increases in $(8, \infty)$

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