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Get Started Now- Lesson: 119:06

In this section, we will learn how to differentiate functions that result from the product of at least two distinct functions using the Product Rule. There are many memory tricks out there that help us remember the Product Rule, the song "hi-de-lo, lo-de-hi", for instance. But since we think they are still a bit too long, we will introduce you a much shorter, cleaner, cooler version – "d.o.o.d" (pronounced as "dude").

1.

Differentiate:

a) $y = {x^5}\sin x$

b) $y = {\left( {6{x^2} + x - 4} \right)^5}\sin 2x$

a) $y = {x^5}\sin x$

b) $y = {\left( {6{x^2} + x - 4} \right)^5}\sin 2x$

17.

Derivatives

17.1

Definition of derivative

17.2

Power rule

17.3

Gradient and equation of tangent line

17.4

Chain rule

17.5

Derivative of trigonometric functions

17.6

Derivative of exponential functions

17.7

Product rule

17.8

Quotient rule

17.9

Implicit differentiation

17.10

Derivative of inverse trigonometric functions

17.11

Derivative of logarithmic functions

17.12

Higher order derivatives

We have over 700 practice questions in Higher 2 Maths for you to master.

Get Started Now17.1

Definition of derivative

17.2

Power rule

17.3

Gradient and equation of tangent line

17.4

Chain rule

17.5

Derivative of trigonometric functions

17.6

Derivative of exponential functions

17.7

Product rule

17.8

Quotient rule

17.9

Implicit differentiation

17.10

Derivative of inverse trigonometric functions

17.11

Derivative of logarithmic functions

17.12

Higher order derivatives