Quotient rule

Quotient rule

To find the derivative of a function resulted from the quotient of two distinct functions, we need to use the Quotient Rule. In this section, we will learn how to apply the Quotient Rule, with additional applications of the Chain Rule. We will also recognize that the memory trick for the Quotient Rule is a simple variation of the one we used for the Product Rule ("d.o.o.d").

Lessons


formula of quotient rule
  • 1.
    Differentiate: y=4x2−x+1x3+5y = \frac{{4{x^2} - x + 1}}{{{x^3} + 5}}
  • 2.
    Differentiate: y=(3−2x9x+1)5y = {\left( {\frac{{3 - 2x}}{{9x + 1}}} \right)^5}
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39.
Differentiation
39.1
Power rule
39.2
Slope and equation of tangent line
39.3
Chain rule
39.4
Derivative of trigonometric functions
39.5
Derivative of exponential functions
39.6
Product rule
39.7
Quotient rule
39.8
Derivative of logarithmic functions
39.9
Higher order derivatives
39.10
Rectilinear Motion: Derivative
39.11
Critical number & maximum and minimum values
GCE O-Level A Maths
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