How to differentiate e^tanx?

first of all to differentiate e^anything = (Diff anything)*e^anything

so to differentiate e^tanx = (Diff tanx)*e^tanx = sec^2x*e^tanx

:)

btw, i couldn't remember what is Diff tanx = to, but i know how to sinx & cosx

so tanx=sinx/cosx Diff using quotient rule, get the ans within 30s :)