Posted by **Lindsay** on Thursday, October 10, 2013 at 4:09pm.

Determine if Rolle's Theorem can be applied. If it can, find all values of c such that f'(c)=0.

f(x)=x^3-9x, [-3,3]

- Calculus -
**Graham**, Thursday, October 10, 2013 at 4:46pm
f(x) is continuous over the domain. [-3,3]

f(x) is differential.

f'(x) = 3x^{2} -9

f(x) has two equal value points on the independent axis.

f(-3) = f(3) = 0

Therefore Rolle's Theorem Applies

.: Exists c such that f'(c)=0

Solve for c:

0 = 3c^{2} - 9

...

- Calculus -
**Me**, Thursday, October 10, 2013 at 5:01pm
Ahh! That's the answer I had but I was doubting it because my partner got something else! Thanks!

## Answer this Question

## Related Questions

- Calculus - Determine whether Rolle's Theorem can be applied to f on the closed ...
- Math - Determine whether Rolle's Theorem can be applied to f on the closed ...
- Calculus - 1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the ...
- Calculus - 1. Determine whether Rolle's Theorem applied to the function f(x)=((x...
- Calculus - Find all numbers c that satisfy the conclusion of Rolle's Theorem for...
- calculus - Show that the function f(x)=4x^3−15x^2+9x+8 satisfies the ...
- calculus - determine whether the mean value theorem can be applied to f on the ...
- calc - Verify that the function satisfies the three hypotheses of Rolle's ...
- calc - Verify that the function satisfies the three hypotheses of Rolle's ...
- Calculus - Determine if Rolle's Theorem applies to the given function f(x)=2 cos...

More Related Questions