Question

f(x)=9x/8x+16, use mean value theorem to find some c between [1,4]

Answer 1

a = 1
b = 4

start by finding f(a) and f(b)

Answer 2

f(a)-f(b)/b-a= 0.15625 I think

Answer 3

nope,
wolfram says f(b) - f(a) / b-a = 1/8

http://www.wolframalpha.com/input/?i=given+f%28x%29%3D9x%2F%288x%2B16%29+%2C+find++%28f%284%29-f%281%29%29%2F%284-1%29+

Answer 4

find f'(x) also and set it equal to 1/8 and solve

Answer 5

Thanks

Answer 6

holdup... wat do you get for f'(x) ? :)

Answer 7

144/(8c+16)^2