MYTUTOR SUBJECT ANSWERS

970 views

Differentiate y=x/sin(x)

This equation has one function of x divided by another function of x, we therefore have to use the quotient rule and is written in the form f(x)/g(x). 

The quotient rule is therefore

f'(x)g(x)-g'(x)f(x)/g2(x)

The first step would be to differentiate f(x) and g(x). 

f'(x)=1 g'(x)=cos(x)

The numerator of this fraction would therefore be 

1*sin(x)-xcos(x) =sin(x)-xcos(x)

To calculate the denominator you simply square g(x)

g2(x)= sin2(x)

So the answer would be sin(x)-xcos(x)/sin2(x)

Rowan F. A Level Chemistry tutor, GCSE Biology tutor, GCSE Chemistry ...

2 years ago

Answered by Rowan, an A Level Maths tutor with MyTutor


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

366 SUBJECT SPECIALISTS

£24 /hr

Hinsum W.

Degree: Medicine (Bachelors) - Edinburgh University

Subjects offered:Maths, Chemistry+ 3 more

Maths
Chemistry
Biology
-Personal Statements-
-Medical School Preparation-

“I'm a 3rd year Edinburgh medic currently intercalating in Anaesthesia. I am a seasoned tutor and can improve your exam technique and subject knowledge!”

£26 /hr

Rama K.

Degree: MBChB (Bachelors) - Birmingham University

Subjects offered:Maths, Physics+ 5 more

Maths
Physics
English
Chemistry
Biology
.BMAT (BioMedical Admissions)
-Personal Statements-

“I am a passionate medical student who would love to teach the sciences and maths to any willing student! I would also love to help prospective medical students achieve their dreams!”

£20 /hr

James S.

Degree: Engineering (Masters) - Warwick University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Extended Project Qualification
Economics

“Hi! I'm an engineering student and budding entrepreneur with a great academic history and experience in tutoring.”

MyTutor guarantee

About the author

£24 /hr

Rowan F.

Degree: Chemistry (Masters) - Bristol University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

“About Me  I am a first year Chemistry student at the University of Bristol and a long with my love for Chemistry I am also incredibly interested in Maths and Biology, enjoying studying both of them at A level. By tutoring that I hope ...”

You may also like...

Posts by Rowan

Differentiate y=x/sin(x)

How will the position of equilibrium shift for an endothermic reaction when heated?

What causes bacteria to become antibiotic resistant?

Other A Level Maths questions

Find the stationary point of y=3x^2-12x+29 and classify it as a maximum/minimum

The first term of an infinite geometric series is 48. The ratio of the series is 0.6. (a) Find the third term of the series. (b) Find the sum to infinity. (c) The nth term of the series is u_n. Find the value of the sum from n=4 to infinity of u_n.

Solve the differential equation dy/dx=(y^(1/2))*sin(x/2) to find y in terms of x.

What is De Moivre's theorem?

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