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Get Started Now- Lesson: 112:04
- Lesson: 214:11

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").

- 1.Differentiate: $y = \frac{{4{x^2} - x + 1}}{{{x^3} + 5}}$
- 2.Differentiate: $y = {\left( {\frac{{3 - 2x}}{{9x + 1}}} \right)^5}$

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

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Get Started Now24.1

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