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

29.

Derivatives

29.1

Definition of derivative

29.2

Power rule

29.3

Gradient and equation of tangent line

29.4

Chain rule

29.5

Derivative of trigonometric functions

29.6

Derivative of exponential functions

29.7

Product rule

29.8

Quotient rule

29.9

Implicit differentiation

29.10

Derivative of inverse trigonometric functions

29.11

Derivative of logarithmic functions

29.12

Higher order derivatives

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Get Started Now29.1

Definition of derivative

29.2

Power rule

29.3

Gradient and equation of tangent line

29.4

Chain rule

29.5

Derivative of trigonometric functions

29.6

Derivative of exponential functions

29.7

Product rule

29.8

Quotient rule

29.9

Implicit differentiation

29.10

Derivative of inverse trigonometric functions

29.11

Derivative of logarithmic functions

29.12

Higher order derivatives