Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

$f (x) = \frac{x ^{3}}{( 4 + x + x ^{2} ) ^{3}}$

$f (x)$ has local minimum at $x =$

Options:

Answer:

Solution:

$h (x) = x^{3}$ increases over

$α : - \infty \to - 1 \to 0 - α + \frac{1}{α} : - \infty \to - 2 \to - \infty g (x) : 0 - \to - \frac{1}{3} \to 0 - 0 + \to 1 \to \infty \infty \to 2 \to \infty 0 + \to \frac{1}{5} \to 0 +$

f has a local minimum at $x = - 2$ .

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima

⏱ 2mℹ️ Source: QB

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