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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41.
Differentiation
41.1
Power rule
41.2
Slope and equation of tangent line
41.3
Chain rule
41.4
Derivative of trigonometric functions
41.5
Derivative of exponential functions
41.6
Product rule
41.7
Quotient rule
41.8
Derivative of logarithmic functions
41.9
Higher order derivatives
41.10
Rectilinear Motion: Derivative
41.11
Critical number & maximum and minimum values
GCE O-Level A Maths
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