Homework Help

find the derivative of the transcendal function. y=`sec x/x`

jesuhlocun103's profile pic

Posted via web

dislike 2 like

find the derivative of the transcendal function.

y=`sec x/x`

1 Answer | Add Yours

tiburtius's profile pic

Posted (Answer #1)

dislike 1 like

Derivation of quotient:

`(f/g)'=(f' cdot g-f cdot g')/(g^2)`                                              (1)

`(sec x)'=(1/cos x)'=sin x/(cos^2 x)=secx tanx`                (2)       

Also as you probably know `x'=1`.  

Now by using rule for derivation of quotient (1) and knowing how to derivate `sec x` (2) we get

`(sec x/x)'=(sec x tan x cdot x-sec x)/(x^2)`  <-- Solution

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes