496 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!

11 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

#### 360 SUBJECT SPECIALISTS

£26 /hr

Degree: Environmental Geoscience (Masters) - Bristol University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Geography
Biology

“Hello there! My name is Prina and I love studying and tutoring maths and science. Check out my profile for how I teach and previous students' feedback!”

£20 /hr

Degree: Economics (Bachelors) - Cambridge University

Subjects offered:Maths, Economics+ 1 more

Maths
Economics
-Personal Statements-

“Hey! My name is Mihir and I'm a Cambridge Economics student. I'm a friendly, hard-working tutor that will help students gain confidence in exams.”

MyTutor guarantee

£24 /hr

Degree: Medicine (Bachelors) - Edinburgh University

Subjects offered:Maths, Chemistry+ 3 more

Maths
Chemistry
Biology
-Personal Statements-
-Medical School Preparation-

“I'm a 3rd year Edinburgh medic currently intercalating in Anaesthesia. I am a seasoned tutor and can improve your exam technique and subject knowledge!”

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

If y = (4x^2)ln(x) then find the second derivative of the function with respect to x when x = e^2 (taken from a C3 past paper)

What is Differentiation?

What is the gradient of y = xcos(x) at x=0?

How and when do you use integration by parts?

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