Friday

January 30, 2015

January 30, 2015

Posted by **Sasha** on Sunday, November 7, 2010 at 8:17pm.

f(x) = x/(x+2) , [1,4]

- calculus -
**dow**, Sunday, November 7, 2010 at 9:48pmf(b)-f(a)/b-a = f'(c) MVT

to find f(b) and f(a), just plug endpoints into original function

f(b) = f(4) = (2/3)

f(a) = f(1) = (1/3)

(2/3)-(1/3)

----------- = f'(c)

4 - 1

(1/9) = f'(c)

next, find derivative of f(x)

f'(c) = f'(x)

product rule

(1/9) = (x)(x+2)^-1

(1/9) = (x+2)^-1 - x(x+2)^-2

(1/9) = (1/x+2) - (x/(x+2))^2

(1/9) = (1/x+2) * (1 - (x/(x+2))

(1/x+2) = (1/9) mult. ea s. by 9

(9/x+2) = 1

9 = x + 2

7 = x

I'm sure you can solve the other x

**Answer this Question**

**Related Questions**

math - verify that the function satisfies the hypothesis of the mean value ...

Math11 - Hello, I dont know how to do this, please help. Thank you. 1).Does the ...

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

calculus help - Does the function satisfy the hypotheses of the Mean Value ...

Calculus Help Please!!! - does the function satisfy the hypotheses of the Mean ...

Calculus Help Please!!! - Does the function satisfy the hypotheses of the Mean ...

math - Verify that f(x) = x^3 − 2x + 6 satisfies the hypothesis of the ...

math - very urgent ! - Verify that f(x) = x^3 − 2x + 6 satisfies the ...

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

calculus - Verify that the hypotheses of the Mean-Value Theorem are satisfied on...