MYTUTOR SUBJECT ANSWERS

614 views

Differentiate the function f(x) = x*sin(x)

This function is the product of the two functions 'x' and 'sin(x)'. Therefore we use the product rule, which says that the differential of a product of two functions is the differential of the first multiplied by the second, plus the differential of the second multiplied by the first:

d/dx(x*sin(x)) = (d/dx(x))*sin(x) + x*(d/dx(sin(x)))

                     = 1*sin(x) + x*cos(x)

                     = sin(x) + x*cos(x)

Dylan B. 11 Plus Maths tutor, GCSE Maths tutor, IB Maths tutor, 13 pl...

1 year ago

Answered by Dylan, an A Level Maths tutor with MyTutor


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

346 SUBJECT SPECIALISTS

£26 /hr

Scott R.

Degree: PGCE Secondary Mathematics (Other) - Leeds University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“I am currently completing 2 PGCEs in Leeds. I have always had a passion for maths and my objective is to help as many as possible reach their full potential.”

£30 /hr

Joe C.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Hi, I'm Joe, an experienced tutor and a University of Bristol graduate with a first class Degree in Mathematics.”

£20 /hr

Shivani M.

Degree: Medicine (Bachelors) - Exeter University

Subjects offered:Maths, Chemistry+ 4 more

Maths
Chemistry
Biology
.UKCAT.
.BMAT (BioMedical Admissions)
-Medical School Preparation-

“I graduated with 5 A-levels last year and now study medicine at Exeter. I have mentored GCSE maths students for the last 2 years. I would love to hear from you!”

About the author

Dylan B.

Currently unavailable: for new students

Degree: Physics (Masters) - Oxford, New College University

Subjects offered:Maths, Physics+ 3 more

Maths
Physics
Music
Further Mathematics
.PAT.

“I am a physics student at the university of Oxford. I've always loved Maths and Physics and am a passionate believer in Einstein's mantra: 'If you can't explain something simply, you don't understand it well enough'. So I will always ...”

You may also like...

Other A Level Maths questions

Solve the equation " 2sec^2(x) = 5tanx " for 0 < x < π

How do i differentiate the equation y = x^2 + 6x + 2 with respect to x.

How many ways are there to arrange n distinct objects in a CIRCLE?

Differentiate x^3(sinx) with respect to x

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