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.

Leibniz's law

status | proved prover | Gottfried Leibniz

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

mathematical rules | solved mathematics problems | mathematics theorems