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

41.

Derivatives

41.1

Definition of derivative

41.2

Power rule

41.3

Slope and equation of tangent line

41.4

Chain rule

41.5

Derivative of trigonometric functions

41.6

Derivative of exponential functions

41.7

Product rule

41.8

Quotient rule

41.9

Derivative of inverse trigonometric functions

41.10

Derivative of logarithmic functions

41.11

Higher order derivatives

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Get Started Now41.1

Definition of derivative

41.2

Power rule

41.3

Slope and equation of tangent line

41.4

Chain rule

41.5

Derivative of trigonometric functions

41.6

Derivative of exponential functions

41.7

Product rule

41.8

Quotient rule

41.9

Derivative of inverse trigonometric functions

41.10

Derivative of logarithmic functions

41.11

Higher order derivatives