Monotonicity – JEE Advanced Previous Year Questions with Solutions

JEE Advanced Previous Year Questions of Math with Solutions are available at eSaral. Practicing JEE Advanced Previous Year Papers Questions of mathematics will help the JEE aspirants in realizing the question pattern as well as help in analyzing weak & strong areas.

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# Why the sky is blue?

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# Why the sky is blue?

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# Why the sky is blue?

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# Why the sky is blue?

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Paragraph for Question 5 and 6

Let $f(\mathrm{x})=(1-\mathrm{x})^{2} \sin ^{2} \mathrm{x}+\mathrm{x}^{2}$ for all $\mathrm{x} \in \mathbb{R},$ and let $\mathrm{g}(\mathrm{x})=\int_{1}^{\mathrm{x}}\left(\frac{2(\mathrm{t}-1)}{\mathrm{t}+1}-\ell \mathrm{nt}\right) f(\mathrm{t}) \mathrm{d} \mathrm{t}$ for all $\mathrm{x} \in$ $(1, \infty)$

# Why the sky is blue?

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# Why the sky is blue?

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# Why the sky is blue?

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# Why the sky is blue?

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# Why the sky is blue?

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# Why the sky is blue?

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# Why the sky is blue?

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# Why the sky is blue?

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# Why the sky is blue?

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Let $\mathrm{f}(\mathrm{x})=\mathrm{x}+\log _{\mathrm{e}} \mathrm{x}-\mathrm{x} \log _{\mathrm{e}} \mathrm{x}, \mathrm{x} \in(0,0)$

$*$ Column 1 contains information about zeros of $f(\mathrm{x}), f^{\prime}(\mathrm{x})$ and $f^{\prime \prime}(\mathrm{x})$

$*$ Column 2 contains information about the limiting behavior of $f(\mathrm{x}), f^{\prime}(\mathrm{x})$ and $$f^{\prime \prime}(\mathrm{x}) \text { at infinity. }$$

$*$ Column 3 contains information about increasing/decreasing nature of $f(\mathrm{x})$ an

$$f^{\prime}(\mathrm{x})$$ # Why the sky is blue?

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# Why the sky is blue?

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I want to know why sky is blue

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# Why the sky is blue?

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I want to know why sky is blue

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# Why the sky is blue?

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I want to know why sky is blue

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