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## Homework Statement

Let ##f(x)## and ##g(x)## be two differentiable function in R and f(2)=8, g(2)=0, f(4)=10 and g(4)=8 then

A)##g'(x)>4f'(x) \forall \, x \, \in (2,4)##

B)##3g'(x)=4f'(x) \, \text{for at least one} \, x \, \in (2,4)##

C)##g(x)>f(x) \forall \, x \, \in (2,4)##

D)##g'(x)=4f'(x) \, \text{for at least one} \, x \, \in (2,4)##

## Homework Equations

## The Attempt at a Solution

How am I to compare the derivatives with only two points? I really don't know where to start with this. Just a wild guess, do I need to apply the mean value theorem?