## MYTUTOR SUBJECT ANSWERS

828 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)

1 year ago

Answered by Rowan, an A Level Maths tutor with MyTutor

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

#### 302 SUBJECT SPECIALISTS

£20 /hr

Javed R.

Degree: Biomedical Engineering (Bachelors) - Liverpool University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“Postgraduate Biomedical Engineering student at the University of Strathclyde. Past classroom experience.”

£26 /hr

Ashika V.

Degree: Physics (Masters) - Manchester University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Extended Project Qualification
-Personal Statements-

“Hi I'm Ashika, a third year MPhys Physics student at the University of Manchester. I tutor in Maths and Physics, Personal Statements and the EPQ.”

£22 /hr

Georgia S.

Degree: Mathematics (Masters) - Bath University

Subjects offered:Maths, Further Mathematics + 1 more

Maths
Further Mathematics
Design & Technology

“Hi, I'm Georgia. I'm a Maths student with a passion for learning and with enough enthusiasm to inspire anyone to love Maths too!”

#### About the author

Rowan F.

Currently unavailable: for new students

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

How do I multiply two matrices together?

What is the difference between a definite integral and an indefinite integral?

Factorize completely x^3 - 6x^2 + 11x - 6

Use the substition u = cos(x) to find the indefinite integral of -12sin(x)cos^3(x) dx

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.