Question: (a) Show that if and g are differentiable, then (b) Give a new proof of the Product Rule by observing that the left-hand side

(a) Show that if ƒ and g are differentiable, then

d dx In(f(x)g(x)) = f'(x) g'(x) + f(x) g(x)

(b) Give a new proof of the Product Rule by observing that the left-hand side of Eq. (8) is equal to (ƒ(x)g(x))'/ƒ'(x)g(x).

d dx In(f(x)g(x)) = f'(x) g'(x) + f(x) g(x)

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