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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17.
Derivatives
17.1
Definition of derivative
17.2
Power rule
17.3
Gradient and equation of tangent line
17.4
Chain rule
17.5
Derivative of trigonometric functions
17.6
Derivative of exponential functions
17.7
Product rule
17.8
Quotient rule
17.9
Implicit differentiation
17.10
Derivative of inverse trigonometric functions
17.11
Derivative of logarithmic functions
17.12
Higher order derivatives
Higher 2 Maths
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