`f(x) = tan(x), [0,pi]` Determine whether Rolle’s Theorem can be applied to `f` on the closed interval `[a, b]`. If Rolle’s Theorem can be applied, find all values of `c` in the open...

`f(x) = tan(x), [0,pi]` Determine whether Rolle’s Theorem can be applied to `f` on the closed interval `[a, b]`. If Rolle’s Theorem can be applied, find all values of `c` in the open interval

Asked on by enotes

Textbook Question

Chapter 3, 3.2 - Problem 21 - Calculus of a Single Variable (10th Edition, Ron Larson).
See all solutions for this textbook.

1 Answer | Add Yours

shumbm's profile pic

Borys Shumyatskiy | College Teacher | (Level 3) Associate Educator

Posted on

NO. This function isn't defined on entire interval (the point where it isn't defined is pi/2).

Actually, not only Rolle's Theorem isn't applicable but also its conclusion doesn't hold: there is no point where f'(x)=0.

We’ve answered 318,994 questions. We can answer yours, too.

Ask a question