Using the product rule of differentiation, we have:
d/dx[f(x)g(x)] = f'(x)g(x) + f(x)g'(x)
Therefore, the derivative of the product of two functions f(x) and g(x) with respect to x is equal to the first function f(x) multiplied by the derivative of the second function g'(x), plus the second function g(x) multiplied by the derivative of the first function f'(x).
In summary:
d/dx[f(x)g(x)] = f'(x)g(x) + f(x)g'(x)
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