Still Confused?

Try reviewing these fundamentals first.

- Home
- AU Maths Extension 1
- Derivatives

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

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

39.

Derivatives

39.1

Definition of derivative

39.2

Power rule

39.3

Slope and equation of tangent line

39.4

Chain rule

39.5

Derivative of trigonometric functions

39.6

Derivative of exponential functions

39.7

Product rule

39.8

Quotient rule

39.9

Derivative of inverse trigonometric functions

39.10

Derivative of logarithmic functions

39.11

Higher order derivatives

We have over 1640 practice questions in AU Maths Extension 1 for you to master.

Get Started Now39.1

Definition of derivative

39.2

Power rule

39.3

Slope and equation of tangent line

39.4

Chain rule

39.5

Derivative of trigonometric functions

39.6

Derivative of exponential functions

39.7

Product rule

39.8

Quotient rule

39.9

Derivative of inverse trigonometric functions

39.10

Derivative of logarithmic functions

39.11

Higher order derivatives