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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25.
Derivatives
25.1
Definition of derivative
25.2
Power rule
25.3
Gradient and equation of tangent line
25.4
Chain rule
25.5
Derivative of trigonometric functions
25.6
Derivative of exponential functions
25.7
Product rule
25.8
Quotient rule
25.9
Implicit differentiation
25.10
Derivative of inverse trigonometric functions
25.11
Derivative of logarithmic functions
25.12
Higher order derivatives
Sixth Year Maths
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