MYTUTOR SUBJECT ANSWERS

416 views

How/when should I use the product rule for differentiation?

The product rule can be used to differentiate a function that is formed of the product of two other functions;

e.g f(x)=x2ex

the product rule is as follows; if f(x) is split up into u.v (in this case u would be x2 and v would be ex), the derivative of th whole function is (u.dv/dx) + (v.du/dx)

so in this case u=x2, following standard differentiation du/dx= 2x

v=ex, dv/dx=ex

u.dv/dx=x2ex

v.du/dx=2xex

so the whole function differentiated = ex(x2+2x)

 

Abi T. A Level Maths tutor, GCSE Chemistry tutor, A Level Further Mat...

2 years ago

Answered by Abi, an A Level Maths tutor with MyTutor


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

256 SUBJECT SPECIALISTS

£20 /hr

Amilah C.

Degree: Physics with a year abroad (Masters) - Edinburgh University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Chemistry

“Hi there, welcome to me page! About Me: I am currently studying Physics at the University of Edinburgh. From a young age, science has always been a passion of mine, and hopefully I can convey this in my tutorials. Previously, I found...”

£20 /hr

Oscar G.

Degree: Economics and Politics (Bachelors) - Bristol University

Subjects offered: Maths, Politics+ 1 more

Maths
Politics
Economics

“About Me: I am a Economics and Politics student at Bristol University. I have always had a real passion and love for all things involving Mathematics, Economics and Politics and hope that my tutorials will instill that love in you, to...”

MyTutor guarantee

£20 /hr

Jamie P.

Degree: Architecture (K100) (Bachelors) - Sheffield University

Subjects offered: Maths, Geography+ 1 more

Maths
Geography
Further Mathematics

“Hello! I am an Architecture student at The University of Sheffield. I would like to say I am creative, friendly and approachable, and willing to work hard in all aspects of what I do. My personable and easy-going nature will help to b...”

MyTutor guarantee

About the author

Abi T.

Currently unavailable: until 01/08/2016

Degree: Maths (Masters) - Exeter University

Subjects offered: Maths, Further Mathematics + 1 more

Maths
Further Mathematics
Chemistry

“Hi, I'm a first year undergraduate from Exeter, studying maths, happy to help with both GSCE and A level maths and further maths, and also GCSE chemistry. ”

You may also like...

Other A Level Maths questions

How do I find the integral ∫(ln(x))^2dx ?

I did all the past papers but I still only achieved a C grade, what am I doing wrong?

Solve the inequality x < 4 - |2x + 1|.

How does integration work?

View A Level Maths tutors

Cookies:

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

mtw:mercury1:status:ok