# Maximum possible value in an interval

Calculus Level 1

$f(x)$ is a function that is continuous and differentiable in the domain $\left[7, 15 \right]$. If $f(7) = 21$ and $f'(x) \leq 14$ for all $7 \leq x \leq 15$, what is the maximum possible value of $f(15)?$

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