Derive a product rule for y fxsxtx where f s and t are, Econometrics

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Derive a product rule for y fxsxtx where f s and t are

(a) What happens to the product rule if F(x) = S(x)?

(b) Derive a product rule for y = F(x)S(x)T(x), where F, S, and T are each differentiable functions. Show that in words it says: to multiply two factors by the derivative of the third factor, and do this in all three possible ways and add the results

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