How do you find the derivative of y=sec4xy=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