What is the derivative of ##y=4 sec ^2(x)##?

##y'=8sec^2(x)tan(x)##

Explanation :

let's start with general function, ##y=(f(x))^2##

differentiating with respect to ##x## Using ,

##y'=2*f(x)*f'(x)##

Similarly following for given problem, yields

##y= 4*sec^2(x)##

##y'=4*2*sec(x)*sec(x)tan(x)##

##y'=8sec^2(x)tan(x)##