MYTUTOR SUBJECT ANSWERS

424 views

What is the method used for differentiation?

There are a range of methods commonly used for differentation, but my favoured method is as follows:

E.g. Differentiate 3x^2

1) Separate into three separate parts - the Coefficient (the number at the front, in this case the 3), the letter (can be anything, but x in this question) and the power (in this case ^2, squared). 

2) Firstly, multiply the power by the coefficient, this becomes the coefficient of your answer - here, 3x2=6

3) Now, leave the x as it is, and +1 to the power (so the function is now ^3, cubed)

Thus your answer will be 6x^3. At this point, the question may ask you to find the differential when x is a given value, let's say that is 2. If the question doesn't ask for this, 6x^3 is the answer you should clearly put on your exam paper - make sure the examiner can find and read it easily!

4) To find the gradient (the differential) when x=2, we simply have to substitute 2 into 6x^3. This is 6(2)^3 = 6(8) = 48. Make sure you clearly indicate this is your final answer on the exam paper. 

If you have any more questions, or would like help with other examples/ questions, feel free to ask. The examiners ask these questions in a wide variety of ways, but essentially the working required is exactly the same. You just need to become practised in quickly identifying what they want you to do, so you can adapt quickly! Good luck!

Evelyn H. A Level English Literature tutor, GCSE English Literature t...

9 months ago

Answered by Evelyn, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

306 SUBJECT SPECIALISTS

£24 /hr

Ayusha A.

Degree: BEng electrical and electronics engineering (Bachelors) - Newcastle University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About me: I am a final year Electrical and Electronic Engineering student at Newcastle University. I took Mathematics, Further Mathematics, Chemistry and Physics as my A-level subjects. I did peer mentoring in university and also have...”

£20 /hr

Giorgos A.

Degree: Mechanical Engineering with Renewable Energy (Masters) - Edinburgh University

Subjects offered:Maths, Physics

Maths
Physics

“Feel rewarded helping younger students. Nobody is born knowing everything, life is a learning process and my aim is to help you achieve your goals.”

MyTutor guarantee

£20 /hr

Bukky O.

Degree: Maths with Finance (Bachelors) - Exeter University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“Hi, I'm Bukky (pronounced book-ee) and my aim is to not only help your child excel in Maths but also hopefully enjoy it too”

About the author

Evelyn H.

Currently unavailable: for regular students

Degree: English (Bachelors) - Southampton University

Subjects offered:Maths, History+ 1 more

Maths
History
English Literature

“A Bit About Me I am an English student at Southampton University whose main interests include late-Victorian fiction, contemporary women's poetry and dystopian fiction (although I love anything and everything really!). I have been an ...”

You may also like...

Posts by Evelyn

What are the main themes in King Lear?

What is differentiation and why is it useful?

What is the method used for differentiation?

What is the significance of Eva Smith's name in 'An Inspector Calls'?

Other A Level Maths questions

I'm supposed to calculate the differential of f(x)= sin(x)*ln(x)*(x-4)^2 using the product rule. I know what the product rule is but I can't split this into two bits that are easy to differentiate. How do I do it?

The region R is bounded by the curve y=sqrt(x)+5/sqrt(x) the x-axis and the lines x = 3, x = 4. Find the volume generated when R is rotated through four right-angles about the x-axis. Give your answer correct to the nearest integer.

Split the following expression into partial fractions of the form A/(x-3) + B/(4x+2) : (19x-15)/(4x+2)(x-3)

What is a 'derivative'?

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok