The Product Rule
Posted: Wed May 06, 2026 3:48 pm
\(\dfrac{d}{dx}[(a)(b)] = (b)\dfrac{da}{dx} + (a)\dfrac{db}{dx}\)
\(ex. a\)
\(\dfrac{d}{dx}[(5x)(x + 1)] =\)
\((x + 1)(5) + (5x)(1)\)
\(5x + 5 + 5x = 10x + 5\)
\(ex. a\)
\(\dfrac{d}{dx}[(5x)(x + 1)] =\)
\((x + 1)(5) + (5x)(1)\)
\(5x + 5 + 5x = 10x + 5\)