Differentiate xcos(x) with respect to x

We have two functions multiplied together: x and cos(x).

Therefore we have to use the product rule.

First differentiate x and leave cos(x) untouched, so we get 1(cos(x))=cos(x). Then differentiate cos(x) and leave x untouched giving us x(-sin(x))=-xsin(x).

Finally add the two parts together which gives us cos(x) + -xsin(x)=cos(x)-xsin(x).

Ioannis L. A Level Maths tutor

2 years ago

Answered by Ioannis, who has applied to tutor A Level Maths with MyTutor

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


£20 /hr

Shivani M.

Degree: Medicine (Bachelors) - Exeter University

Subjects offered:Maths, Chemistry+ 4 more

.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!”

£20 /hr

John W.

Degree: Mathematics (Masters) - St. Andrews University

Subjects offered:Maths, Further Mathematics

Further Mathematics

“I've done a broad range of maths learning and tutoring over the years, now continuing this on to university I'm sure I'll be able to help you out!”

Roma V. A Level Maths tutor, 13 Plus  Maths tutor, GCSE Maths tutor, ...
£26 /hr

Roma V.

Degree: Mathematics, Operational Research, Statistics and Economics (Bachelors) - Warwick University

Subjects offered:Maths, Further Mathematics + 1 more

Further Mathematics

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

About the author

£20 /hr

Ioannis L.

Degree: Mathematics (Masters) - Warwick University

Subjects offered:Maths, Further Mathematics

Further Mathematics

“I am a Maths student at the University of Warwick. I really enjoy passing on my knowledge to other people and helping them achieve their goals. While studying for A-Levels, Ihelped in GCSE maths lessons and also hosted chess lessons f...”

MyTutor guarantee

You may also like...

Other A Level Maths questions

The curve C has the equation y = 2x^2 -11x + 13. Find the equation of the tangent to C at the point P (2, -1).

How can I integrate e^x sinx?

Solve log4[x]+log4[x-6]=log5[25] x>6

What is the natural logarithm?

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