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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If f(x) is continuous and differentiable in [-3, 9] and f'(x) [-2, 8] x (-3, 9) . Let N be the number of divisors of the greatest possible value of f(9) - f(-3) , then find the sum of digits of N .

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3

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