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    Product Rule

    Statement

    The product rule states that for f and g two differentiable functions, d(f(x)g(x))/dx = f(x)g'(x) + g(x)f'(x), where f'(x) = df/dx denotes the derivative of f with respect to x.

    Alternate name
    History

    status | proved
prover | Gottfried Leibniz

    Associated equation

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

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