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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24.
Derivatives
24.1
Definition of derivative
24.2
Power rule
24.3
Gradient and equation of tangent line
24.4
Chain rule
24.5
Derivative of trigonometric functions
24.6
Derivative of exponential functions
24.7
Product rule
24.8
Quotient rule
24.9
Implicit differentiation
24.10
Derivative of inverse trigonometric functions
24.11
Derivative of logarithmic functions
24.12
Higher order derivatives
Sixth Year Maths
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