Show that the function given by $f (x) = e^{2 x}$ is increasing on $R$

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Solution

Given,

$f (x) = e^{2 x}$

Differentiation w.r.t $x$

$f^{'} (x) = 2 e^{2 x} > 0$

Therefore, $f (x)$ is increasing on $R$ .

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