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A function f(x) is given below. Express the relationship between f'(x) and f(x) in words,...

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Calculus

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A function f(x) is given below. Express the relationship between f'(x) and f(x) in words, and write a differential equation that f(x) satisfies.f(x) = 19e-xExpress the relationship between f'(x) and f(x) in words. Choose the correct answer below.A. The derivative of f(x) is - 1 times e raised to the -x-1 power.B. The derivative of f(x) is the same as f(x).C. The derivative of f(x) is - 1 times f(x).D. The derivative of f(x) is - 19 times f(x).f(x) satisfies the differential equation y' =(Type an expression using y as the variab)

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