`f(x) = (x-4)/(x+4), c=3` Find f'(x) and f'(c).

Textbook Question

Chapter 2, 2.3 - Problem 16 - Calculus of a Single Variable (10th Edition, Ron Larson).
See all solutions for this textbook.

1 Answer | Add Yours

hkj1385's profile pic

hkj1385 | (Level 1) Assistant Educator

Posted on

`f(x) = (x-4)/(x+4)`

`f'(x) = {(x+4) - (x-4)}/(x+4)^2`

`or, f'(x) = 8/(x+4)^2`

`thus, f'(c) = f'(3) = 8/(3+4)^2`

`or, f'(c) = f'(3) = 8/7^2 = 8/49`

``

We’ve answered 318,960 questions. We can answer yours, too.

Ask a question