Posted by **Brian** on Thursday, January 18, 2007 at 1:43pm.

Verify that the function satisfies the three hypotheses of Rolle's Therorem

on the given interval. Then find all numbers c that satisfy the conclusiton

of Rolle's Theorem. f(x)= x*sqrt(x+6) [-6,0]

f is continuous and differential

f(-6) =-6*sqrt(-6+6) =0

f(0)=0

f(x) = x (x+6^1/2)

f'(x)= (x+6^1/2) + (1/2x +6)^1/2

0=(x+6^1/2) + (1/2x +6)^1/2

x=-2.918

I don't think this is correct so could you please tell me what I did wrong?

Thanks.

f(x)= x*sqrt(x+6)--->

f'(x) = sqrt(x+6) + x/[2sqrt(x+6)]

f'(x) = 0 --->

x = -4

## 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 ...
- calc - Verify that the function satisfies the three hypotheses of Rolle's ...
- Calculus - verify that the function satisfies the three hypotheses of rolle's ...
- math - Verify that the function satisfies the three hypotheses of Rolle's ...
- math - Question Part Points Submissions Used Verify that the function satisfies...
- calc - verify that g(x)=3x sqrt(x-5) satisfies the condition of rolle's theorem ...
- Math11 - Hello, I dont know how to do this, please help. Thank you. 1).Does the ...

More Related Questions