Let f(x) be a continuous and differentiable function on the interval [2,10]. It is known that f(2)=8 and the derivative on the given interval satisfies the condition f′(x)≤4 for all x∈(2,10). Then the maximum possible value of the function at x=10

Let f(x) be a continuous and differentiable function on the interval [

1.	Let f(x) be a continuous and differentiable function on the interval [2,10]. It is known that f(2)=8 and the derivative on the given interval satisfies the condition f′(x)≤4 for all x∈(2,10). Then the maximum possible value of the function at x=10
Answer» Let $f (x)$ be a continuous and differentiable function on the interval $[2, 10]$ . It is known that $f (2) = 8$ and the derivative on the given interval satisfies the condition $f^{'} (x) \leq 4$ for all $x \in (2, 10)$ . Then the maximum possible value of the function at $x = 10$