MYTUTOR SUBJECT ANSWERS

505 views

What does it mean to differentiate a function?

A function represents a quantity. For example the function s = (6t2 + 4t) m, could represent displacement. The unknown t is inputted to find the displacement an object travels at a certain time.

The differencial of a function represents the rate of change of that function. So for displacement the differencial would be the rate of change of displacement. The rate of change of displacement tells you how how quickly the respective moving object is covering distance. This is velocity.

So the rate of change of displacement is velocity. When you differenciate displacement you get velocity. In the example s = (6t2 + 4t) m , we know, by differenciating displacement, velocity, v = (12t + 4) ms-1.

If you consider the velocity of an object. The rate of change of velocity is how quickly it increases or decreases. This is the accelleration of the moving object.

So the rate of change of velocity is accelleration. When you differenciate velocity you get accelleration. In the example we found v = (12t + 4) ms-1, we know, by differenciating accelleration, a = 12 ms-2

Summary:

DISPLACEMET >differenciateVELOCITY >differenciateACCELLERATION

Note: The reverse of differenciation is intergration. Considering this, the following can be said:

ACCELLERATION >intergrateVELOCITY >intergrate> DISPLACEMENT

Neha J. A Level Further Mathematics  tutor, A Level Maths tutor, A Le...

2 years ago

Answered by Neha, an A Level Maths tutor with MyTutor


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

265 SUBJECT SPECIALISTS

PremiumRyan G. GCSE Maths tutor, GCSE Physics tutor, GCSE Computing tutor, A...
£24 /hr

Ryan G.

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

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Computing
-Personal Statements-

“ I will offer a wide range of ways to learn so you can find a way that best suits you!”

£22 /hr

Max G.

Degree: Mathematics and Physics (Masters) - Durham University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Chemistry
Biology

“I am a maths and physics student at the University of Durham, for as long as I can remember i have been obsessed with all things science! I am patient, friendly and most of all understanding to the fact that the sciences aren't for ev...”

£22 /hr

Saanya A.

Degree: Medicine (Bachelors) - Birmingham University

Subjects offered:Maths, Science

Maths
Science

“Me: I am currently a first year medical student studying at the University of Birmingham. I studied Mathematics, Further Mathematics, Biology and Chemistry at A-level. I have had previous experience at Accelerated Education Tuition wh...”

About the author

Neha J.

Currently unavailable: for regular students

Degree: Physics and Philosophy (Bachelors) - Sheffield University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
-Personal Statements-

“Top tutor from a renowned Russell university group, ready to help you improve your grades!”

You may also like...

Other A Level Maths questions

Differentiate y= (2x+1)^3. [The chain rule]

How do I find where the stationary points of a function are?

Core 3 - Modulus: Solve the equation |x-2|=|x+6|.

Derive from the standard quadratic equation, the form of the quadratic solution

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