Homework Help

Derivate 1/(t^2-1)=f(t)?

user profile pic

vior | Student, Undergraduate | eNoter

Posted June 16, 2013 at 4:33 PM via web

dislike 2 like

Derivate 1/(t^2-1)=f(t)?

Tagged with derivates, math

1 Answer | Add Yours

user profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted June 16, 2013 at 5:07 PM (Answer #1)

dislike 1 like

You need to find the derivative of the function `f(t)` , hence, you need to use quotient rule, such that:

`f'(t) = (1'(t^2 - 1) - 1*(t^2 - 1)')/((t^2-1)^2)`

`f'(t) = (0*(t^2 - 1) - 1*(2t))/((t^2-1)^2)`

`f'(t) = (0 - 2t)/((t^2-1)^2)`

`f'(t) = (-2t)/((t^2-1)^2)`

Hence, evaluating the derivative of the given function yields,using the quotient rule, `f'(t) = (-2t)/((t^2-1)^2).`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes