MYTUTOR SUBJECT ANSWERS

487 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

253 SUBJECT SPECIALISTS

£22 /hr

Ben T.

Degree: Engineering (Bachelors) - Cambridge University

Subjects offered:Maths, Physics+ 4 more

Maths
Physics
French
Chemistry
-Personal Statements-
-Oxbridge Preparation-

“Hi there! I’m your friendly neighbourhood Cambridge grad, brimming with tricks and enthusiasm for Maths, Sciences and French. To learn more, view my profile...”

£22 /hr

Liam R.

Degree: Economics (Bachelors) - Durham University

Subjects offered:Maths

Maths

“I study Economics at Durham. I have a passion for maths and hope to share this with you! To find out more, click on my profile & book a free 15-minute meeting!”

£20 /hr

Tarryn R.

Degree: Mathematics (Bachelors) - Exeter University

Subjects offered:Maths, Further Mathematics + 2 more

Maths
Further Mathematics
Extended Project Qualification
English Literature

“Hi I'm Tarryn, I'm a Maths student with a wide knowledge in Maths and English Literature modules - I pride myself on being flexible, reliable and enthusiastic!”

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

How do you intergrate ln(x)?

Find the equation of the normal line at the point H, where θ= π/6, on the curve with equations x=3sinθ and y=5cosθ

What values of θ between 0 and 2π satisfy the equation cosec(θ) + 5cot(θ) = 3sin(θ)?

How do I find the coordinates of maximum and minimum turning points of a cubic equation?

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