How to find the Derivative of sec(x)

Let's find the derivative of the sec(x). How would we go about doing this?

Well sec(x) is another way of writing 1/cos(x) and since we have a quotient here, the quotient rule would aptly apply.

Written in short hand, the quotient rule is:

 

In this case, we have y = sec(x) = 1/cos(x). Let u equal the numerator of 1 (i.e. u = 1), and v equal the denominator: cos(x). So now if we apply the quotient rule, we have...

Please watch the video for the rest of the tutorial!