(C) 2012-2013 David Liao (lookatphysics.com)

Another way to put basic functions together to make more sophisticated structures is to write their expressions next to each other as a product. In this video, we derive the product rule, which is used in such situations. The product rule is written d(fg)/dx = (df/dx)g + f(dg/dx) and memorized by reciting "derivative of the first, times the second, plus first times derivative of the second."

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