Quotient rule

Calculus Tutorial

Quotient rule


The quotient tells us how to find derivative of the quotient of two functions.

Sample Problem

find dy/dx


=(d/dx(cos(x)).x3-cos(x).d/dx(x3))/(x3)2 quotient rule
=(-sin(x).x3-cos(x).3×2)/x6 differentiate cos(x) and x3
=-x2(xsin(x)+3cos(x))/x6 simplify
=-(xsin(x)+3cos(x))/x4 cancel common factors

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