Let $f(x)$ be differentiable function for all $x$ with $f^{\prime}(x) \leq 17$ and $f(2)=7$. Then th

Question

Let $f(x)$ be differentiable function for all $x$ with $f^{\prime}(x) \leq 17$ and $f(2)=7$. Then the maximum value of $f(7)$ is

Professor PC Thomas Classes · Answer

By Mean Value Theorem, $f(7) \le 7 + 5(17) = 92$.