Set 1

$\frac{1}{e}$

$0$

$\frac{1}{x}$

$e$

$\sec^{2}(\sqrt x)$

$\frac{1}{\sqrt{2}} \sec^{2}(\sqrt x)$

$\frac{1}{2\sqrt{x}} \sec^{2}(\sqrt x)$

$ \sec^{2}(\sqrt x) \tan \left(\frac{1}{2\sqrt x} \right)$

$ - \frac{1}{{|x|\sqrt {{x^2} - 1} }}$

$ - \frac{1}{{|x|\sqrt {{x^2} + 1} }}$

$ \frac{1}{{|x|\sqrt {{x^2} - 1} }}$

$ - \frac{1}{{\sqrt {{x^2} - 1} }}$

The rate of change of $f(x)$ with respect to $x$

The increase in the relevance rate of $f(x)$ with respect to $x$

The decrease in the relevance rate of $f(x)$ with respect to $x$

None of these

$2\ln \left( 3 \right) \times {3^{2x}}$

$\ln \left( 3 \right) \times {3^{2x}}$

$\ln \left( 2 \right) \times {3^{2x}}$

$2x \times {3^{2x}}$