Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

$f (x) = (tan^{- 1} x)^{2} + \frac{2}{1 + x ^{2}}$

Maximum value of $f$

Answer:

Solution:

As $x \to \infty, f (x) \to \frac{π ^{2}}{4} + 0 = \frac{π ^{2}}{4}$ which is not achieved.

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

⏱ 2mℹ️ Source: QB

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