Question: 10. (10%) Show that if f is a differentiable function that satisfies f(x + n) - f(x) = f'(x) n for all real numbers a

10. (10%) Show that if f is a differentiable function that
satisfies f(x + n) - f(x) = f'(x) n for all real

10. (10%) Show that if f is a differentiable function that satisfies f(x + n) - f(x) = f'(x) n for all real numbers a and all positive integers n, then f is a linear function. Hint. Show that f"(x) = 0 for all r E R

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