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

Open in App

Solution

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

$f^{'} (x) = 2 e^{2 x} > 0, \forall x \in R$
Hence $f$ is strictly increasing on $R$

Suggest Corrections

Similar questions

Show that the function given by f(x) = e²^x is strictly increasing on R.

Show that the function given by $f (x) = 3^{2 x}$ is strictly increasing on R.

f (x) = 3 x + 17

R

f

f (x) = x^{3} - 3 x^{2} + 4 x, x \in R

Join BYJU'S Learning Program