Let $f\left(x\right)andg\left(x\right)$ be two differentiable functions in $Randf\left(2\right)=8,g\left(2\right)=0,f\left(4\right)=10,andg\left(4\right)=8.$ Then prove that $g^{prime}\left(x\right)=4f^{prime}\left(x\right)$ for at least one $x\in \left(2,4\right)\dot{}$

Views: 858 students