Still Confused?

Try reviewing these fundamentals first

- Home
- Differential Calculus
- Differentiation

Still Confused?

Try reviewing these fundamentals first

Nope, got it.

That's the last lesson

Start now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths 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: $y = {\left( {\frac{{3 - 2x}}{{9x + 1}}} \right)^5}$

2.

Differentiation

2.1

Definition of derivative

2.2

Estimating derivatives from a table

2.3

Power rule

2.4

Slope and equation of tangent line

2.5

Chain rule

2.6

Derivative of trigonometric functions

2.7

Derivative of exponential functions

2.8

Product rule

2.9

Quotient rule

2.10

Implicit differentiation

2.11

Derivative of inverse trigonometric functions

2.12

Derivative of logarithmic functions

2.13

Higher order derivatives

We have over 170 practice questions in Differential Calculus for you to master.

Get Started Now2.1

Definition of derivative

2.3

Power rule

2.4

Slope and equation of tangent line

2.5

Chain rule

2.6

Derivative of trigonometric functions

2.7

Derivative of exponential functions

2.8

Product rule

2.9

Quotient rule

2.10

Implicit differentiation

2.11

Derivative of inverse trigonometric functions

2.12

Derivative of logarithmic functions

2.13

Higher order derivatives