Question: We define the function f(x) as f(x) = a/(1 e^(kx b)), where (a, k, b) are constants. (1) Discuss the monotonicity of f(x). (2) Determine

We define the function f(x) as f(x) = a/(1 e^(kx b)), where (a, k, b) are constants. (1) Discuss the monotonicity of f(x). (2) Determine the value range of f(x) based on question (1). (3) Prove the equation d dx f(x) = (k/a)f(x)(f(x) a)

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