Quotient Rule

What is Quotient Rule?

The rule for differentiating one function divided by another. If y equals u over v, where u and v are both functions of x and v is not zero, then dy by dx equals v times du by dx minus u times dv by dx, all divided by v squared. The order of the two terms in the numerator matters because subtraction is not commutative, and reversing them produces an answer with the wrong sign throughout. The restriction v not equal to zero comes from the original expression and must be carried into the answer. It is not supplied in the examination formula list.

This definition is part of the Calculus chapter in Cambridge O Level Additional Mathematics.

Concepts related to Quotient Rule

• order matters
• excluded value \(v=0\)
• product rule