Compute the derivative f'(x) of the logistic sigmoid f(x) = 1 / (1 + exp(-x))
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The logistic function f(x) = 1 / ( 1 + exp ( - x ) ) serves as an activation function for neural network processing. It is differentiable and its derivative is easy to calculate, making it attractive in implementing chain rule for back-propagation computing. Derive f'(x) = f(x) * ( 1 - f(x))
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