Supposeis a differentiable function such thatfor all If the

Suppose $\"f\"$ is a differentiable function such that $\"f\'(x)$ for all $\"x$ . If $\"f(-2)$ , the Mean Value Theorem says that $\"f(4)$ for what value of $\"V\"$ ? (Choose $\"V\"$ as small as possible.)

$\"V\"$ =

f\'(x) = f(4) -f(-2)/(4-(-2)) = f(4) -f(-2)/6 <=6 f(4) <=36 + f(-2) f(4) <= 36 +4 =40 V=40

$Supposeis a differentiable function such thatfor all. If, the Mean Value Theorem says thatfor what value of? (Chooseas small as possible.) = Solution f\'(x) =$

Supposeis a differentiable function such thatfor all If the

Solution

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