Question

The function f(x)=5x(x+2)^1/2 satisfies the Mean Value Theorem on the interval [0,2]? Find all values of c that satisfy the conclusion of the theorem

Answer 1

\[f'(c)=\frac{f(b)-f(a)}{b-a}\]

Answer 2

so you need to find f'

Answer 3

yeah i found f'(x) 5(3x+4)/2(x+2)^1/2=10 but how do i continue from there?