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

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

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Get Started Now25.1

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