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Differentiability: Mean Value Theorem - Maximum

f(x)f(x) is a function that is continuous and differentiable in the domain [7,15][7,15]. If f(7)=21f(7) = 21 and f(x)14f'(x) \leq 14 for all 7x157\leq x \leq 15, what is the maximum possible value of f(15)?f(15)?

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