Friday

September 19, 2014

September 19, 2014

Posted by **Jossy** on Thursday, April 12, 2007 at 8:00pm.

f(x)= x sqrt(x+21) , [-21,0]

If there is more than one solution separate your answers with commas.

c =

Do you know what Rolle's Theorem says?

Rolle's theorem states that if a function f is continuous on a closed interval [a,b] and f(a) = f(b) then

f'(c) = 0 where a <= c <+ b

it is easy to see that f(-21) = -21√0 = 0

and f(0) = 0

f'(x) = (x/2+1)(x+21)^(-1/2)

setting this equal to zero and solving I got x=-2, wich lies between -21 and 0

**Answer this Question**

**Related Questions**

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 - 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 the function satisfies the three hypotheses of Rolle's ...

calculus - Verify that the hypotheses of Rolle’s Theorem are satisfied for f(x)=...

calculus - Show that the function f(x)=4x^3−15x^2+9x+8 satisfies the ...

math - verify that the function satisfies the hypotheses of the mean values ...

math - verify that the function satisfies the hypotheses of the mean values ...