Thursday

December 18, 2014

December 18, 2014

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

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

- Calculus -
**Graham**, Thursday, October 10, 2013 at 4:46pmf(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 5:01pmAhh! 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 - Show that the function f(x)=4x^3−15x^2+9x+8 satisfies the ...

Calculus - Find all numbers c that satisfy the conclusion of Rolle's Theorem for...

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...