The quotient rule is used to differentiate the quotient of two functions. The derivative of f divided by g equals f-prime times g minus f times g-prime, all over g squared.
Find the derivative of (3x) / (x² + 1).
f = 3x, g = x² + 1. (f/g)' = (3·(x²+1) − 3x·2x) / (x²+1)² = (3x² + 3 − 6x²) / (x²+1)² = (3 − 3x²) / (x²+1)²
Download the app and compete with players worldwide. Track your progress, climb the leaderboard, and master mathematics.
