Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMonotonicity-Increasing-DecreasingMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

$f (x) = ln (1 - x^{2} - x)$

$f (x)$ increases in the region

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Answer:

Solution:

$ℓ n$ is an increasing function $1 - x^{2} - x is defined for x \in [- 1, 1]$ If $x \in [- 1, 0], 1 - x^{2} - x > 0$ If $x > 0$ , then $1 - x^{2} > x \Rightarrow 1 - x^{2} > x^{2}$ i.e., $x \in (0, \frac{1}{2})$

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Monotonicity-Increasing-Decreasing

⏱ 2mℹ️ Source: QB

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