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

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Answer 1 · 2016-10-08T15:51:14

#y'=4sec x tan x#

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#