How do I differentiate?

Differentiation is a relatively easy process once you learn the basic method. The basic rule is, you multiply the coefficient of x by the exponent, which becomes the new coefficient, and then reduce the exponent by 1.

For example; differentiate 4x3

To get the new coefficient you times to old coefficient and exmponent together, in this case 4 x 3 = 12.

To get the new exponent, you reduce the old exponent by 1. So the new exponent is 3-1 = 2.

Therfore, the differntial of 4x3  is  12x2.

Alexis B. IB Biology tutor, GCSE Maths tutor, IB Maths tutor, GCSE Bi...

1 year ago

Answered by Alexis, a GCSE Maths tutor with MyTutor

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


£22 /hr

Dorian A.

Degree: Theoretical Physics (Masters) - Durham University

Subjects offered: Maths, Physics+ 1 more

Further Mathematics

“About Me As a Theoretical Physics student at Durham University, I am more than aware of all of the confusing turns that science can take. I have areal passion for my subject, and hope to show my students howbeautiful science can be.  ...”

£18 /hr

Hamid S.

Degree: Mechanical Engineering (Masters) - Cardiff University

Subjects offered: Maths, Physics+ 1 more


“About Me: I am a first year Mechanical Engineering student at Cardiff University. Though I’ve only just began my course, I’ve had a major interest in engineering and science since I was very young, always being hands on and more recen...”

£18 /hr

Michael F.

Degree: Mathematics (Bachelors) - Oxford, Pembroke College University

Subjects offered: Maths, Further Mathematics

Further Mathematics

“Personal Description: I am about to start my first year of studying Maths at Oxford University. I enjoy teaching Maths and have been extremely passionate about it since the start of my academic career. I am here to help students of an...”

About the author

Alexis B.

Currently unavailable: for new students

Degree: Biomedical science (Bachelors) - Durham University

Subjects offered: Maths, Biology


“Hi there, my name's Alexis and I study Biomedical Science at Durham University. I love my subject and learning in general and I hope I can help you feel the same, or at least half the enthusiasm I have in whatever subject you do!   I...”

You may also like...

Posts by Alexis

How do I differentiate?

How do the hydrophobic and hydrophilic properties of phospholipids help maintain the structure of cell membranes?

What is the difference between meiosis and mitosis?

Other GCSE Maths questions

How should I approach my GCSE maths paper?

How do I solve the Hannahs sweets question from the 2015 GCSE paper?

Solve this equation; 5x - 4 = 3x + 7

Prove that (2n+3)^2-(2n-3)^2 is a multiple of 8 for positive integer values of n

View GCSE Maths tutors


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