Question 4. (a) If f(x) = x'sin(5x), what is f'()? (b) Find dx (sin .z). (c) Two functions which arise in probability theory are the
Question 4. (a) If f(x) = x'sin(5x), what is f'()? (b) Find dx (sin .z). (c) Two functions which arise in probability theory are the logistic sigmoid function o() and the softplus function ((x), defined by 1 o(x) = and ((x) = log (1 + e* ) . Show that ('(x) = o(x). Page 2 of 3
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