How do you find the derivative of #y=sec4x#?

1 Answer
Oct 8, 2016

#y'=4sec x tan x#

Explanation:

In this example we will have to use the Chain Rule.

We have to take the derivative of the outside, #sec x#.

We also have to take the derivative of the inside, #4x#.

We then multiply those derivatives together.

#d/dx sec x = sec x tan x#

#d/dx 4x=4#

#y'=sec x tan x * 4#

#y'=4sec x tan x#