Question

find dy/dx, if y=extanx​

Answer 1

$\frac{dy}{dx}$

$= \frac{d(e ^{x} \tan x) }{dx}$

$= e^{x} \frac{d( \tan x )}{dx} + \frac{d(e^{x} )}{dx} \tan x$

$= e^{x} \sec^{2} x + {e}^{x} \tan x$

$= {e}^{x} ( \sec^{2}x + \tan x )$

HOPE THAT HELPS!!