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Application of Derivatives question

2024 · 1 Feb · Shift 1 · Q49

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JEE Main
Mathematics
Application of Derivatives
2024 · 1 Feb · Shift 1 · Q49

Application of Derivatives question

2024 · 1 Feb · Shift 1 · Q49

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

If

5 f(x)+4 f\left(\frac{1}{x}\right)=x^2-2, \forall x eq 0

and

y=9 x^2 f(x)

, then

y

is strictly increasing in :

A
$\left(0, \frac{1}{\sqrt{5}}\right) \cup\left(\frac{1}{\sqrt{5}}, \infty\right)$
B
$\left(-\frac{1}{\sqrt{5}}, 0\right) \cup\left(\frac{1}{\sqrt{5}}, \infty\right)$
C
$\left(-\frac{1}{\sqrt{5}}, 0\right) \cup\left(0, \frac{1}{\sqrt{5}}\right)$
D
$\left(-\infty, \frac{1}{\sqrt{5}}\right) \cup\left(0, \frac{1}{\sqrt{5}}\right)$

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