A function f(x) is given below. Express the relationship between f'(x) and f(x) in words, and write a differential equation that

Question

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-x
Express 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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