Posted by **Ky** on Sunday, March 6, 2011 at 7:56pm.

Determine if Rolle's Theorem applies to the given function f(x)=2 cos(x) on [0, pi]. If so, find all numbers c on the interval that satisfy the theorem.

- Calculus -
**drwls**, Sunday, March 6, 2011 at 10:20pm
Rolle's theorem states that a differentiable function that has equal values at two distinct points must have a point somewhere between them where the first derivative is zero.

Rolle's theorem does not apply to that function in that interval, since f(x) decreases from 1 at x = 0 to -1 at pi. There are no two values of x in the [0, pi] interval where the f(x) values are the same.

## Answer This Question

## Related Questions

- calc - Verify that the function satisfies the three hypotheses of Rolle's ...
- calc - Verify that the function satisfies the three hypotheses of Rolle's ...
- URGENT!! PLEASE Calc - Verify that the function satisfies the three hypotheses ...
- math - Verify that the function f(x)=x^3-6x^2+8x+4 satisfies the three ...
- Calculus 1 - Verify that the function satisfies the three hypotheses of Rolle's ...
- math - Question Part Points Submissions Used Verify that the function satisfies...
- Calculus - verify that the function satisfies the three hypotheses of rolle's ...
- math - Verify that the function satisfies the three hypotheses of Rolle's ...
- calc - Verify that the function satisfies the three hypotheses of Rolle's ...
- calculus - find all the numbers c that satisfy the conclusion of rolle's theorem...

More Related Questions