# Differentiation Techniques Pt.2

A function can be written as athe product of two other functions. The product rule states that if you let \(F(x) = f(x) \cdot g(x)\), then \[F^{\prime}(x) = \frac{d}{dx}[f(x) \cdot g(x)] = f(x) \cdot \Bigg[ \frac{d}{dx}g(x) \Bigg] + g(x) \cdot \Bigg[ \frac{d}{dx}f(x) \Bigg]\] In simple English, the derivative of a product is the first factor times the derivative of the second factor, plus the second factor times the derivative of the first factor. …