Basic Differentiation On NUMBAS platform

 Hi all,

Please try these links which contain exercises on basic differentiation rules.

It is on Numbas platform, and the questions have random numbers and functions so you can keep trying until you can do it!!

Here are the Links: 

• Finding the equation of the tangent and normal (JHa) 

• Differentiation Rules: Product, Quotient, Chain Rule (JHa)

Answers to quick quiz on differentiation

 

Quick quiz - differentiation

Answers

Extra differentiation exercises (plus quick quiz) - https://www.kutasoftware.com/freeica.html

 https://www.kutasoftware.com/freeica.html

For more exercises on differentiation (very very important to get this skill right now!!)

Basic powers, constants

https://cdn.kutasoftware.com/Worksheets/Calc/03%20-%20Power%20Constant%20and%20Sum%20Rules.pdf

Second order derivatives - $y''$

https://cdn.kutasoftware.com/Worksheets/Calc/03%20-%20Higher%20Order%20Derivatives.pdf

Product Rule

https://cdn.kutasoftware.com/Worksheets/Calc/03%20-%20Product%20Rule.pdf

Quotient Rules

https://cdn.kutasoftware.com/Worksheets/Calc/03%20-%20Quotient%20Rule.pdf

Chain Rule

https://cdn.kutasoftware.com/Worksheets/Calc/03%20-%20Chain%20Rule.pdf

Quiz - Test Yourself Now!!

In an exam, these are 1 mark each, answer does not have to be simplified here as we are not using it directly. But its still a good exercise to factorise.

Quick Quiz

See another post for answers :-)

Calculus Brief Summary

  Calculus Brief Summary

Basic Differentiation Rules - Summary

 Basic Differentiation Rules - Summary

Differentiation Rules examples - Tutorial AC12 - Friday 2 June 2023

Differentiation Rules - Must learn these rules!! 

Thanks to my students for all their contributions!

$$y=\dfrac{x^2}{\sqrt{x+1}}$$

Bonus Harder question below!! 

Example - chain rule - $y=\left(x^2-4\right)^3$

 

Poster - Differentiation Rules