Transum Software

Differentiation

Practise the technique of differentiating polynomials with this self marking exercise.

Level 1 Level 2 Level 3 Level 4 Exam-Style Description Help Video

This is level 1: differentiate basic polynomials. You can earn a trophy if you get at least 9 questions correct and you do this activity online.

$$y=x^{4}$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=x^{3}$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=x^{2}$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=x$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=x^{2}+x$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=x^{3}-x^{2}$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=x^{2}+7$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=3x^{3}$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=7x$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=5x^{2}-6x+2$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=2x^{4}-3x^{3}-3$$

\(\frac{dy}{dx}=\) Correct Wrong

$$y=8x^{4}+9x^{3}+3$$

\(\frac{dy}{dx}=\) Correct Wrong

Check

This is Differentiation level 1. You can also try:
Level 2 Level 3 Level 4

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

Email address

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales:

"I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!"

Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London:

"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."

Featured Activity

Snooker Angles

Snooker Angles

This must be the most enjoyable way to practise estimating angles and learn about bearings. Snooker Angles is an interactive game for one or two players.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Subscribe

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

Apple

©1997-2017 WWW.TRANSUM.ORG

© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=55

Description of Levels

Close

Close

Level 1 - Differentiate basic polynomials

Level 2 - Differentiate more polynomials

Level 3 - Find the gradient at the given point

Level 4 - Mixed differentiation questions

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Example

The video above is from MathMateVideos.

Terminology and symbols

Please note that if \(y = f(x) = x^2\) then the first differential can be shown as:

$$\frac{dy}{dx} = 2x$$

or...

$$y' = 2x$$

or...

$$f'(x) = 2x$$

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

Close