Math question?

Question

Hey. I did this problem in my calculus class but I dont know if I got it right. Could someone help me?


The derivative of ln(absolue value of tan(x))

or it's written like this: d/dx {ln(absolute value of tan(x))}

The answer I got is ((sec(x))^2)/(tan(x))

Sorry if I wrote it kinda funny. Thanks for any replies

Answer 1

You've got the first step right with chain rule...

Simplify it furthur....

We know that (Sec x)^2 = 1/ and also
Tan x = Sin x/Cos x

So ((sec(x))^2)/(tan(x)) becomes

1 X Cos x
-----------------------
(Cos x)^2 X Sinx

So the simplified answer is

1
------------------
Sin x Cos x

This can be furthur simplied...get back to me if you want that..!