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.

$d/dx sec x = sec x tan x$

$d/dx 4x=4$

$y'=sec x tan x * 4$

$y'=4sec x tan x$

How do you find the derivative of y=sec4xy=sec4x?