MYTUTOR SUBJECT ANSWERS

1005 views

If x = cot(y) what is dy/dx?

Here we will use:

cot(x) = cos(x)/sin(x)

cosec2(x) = 1 + cot2(x)

Chain rule : dy/dt * dt/ dx = dy/ dx

Product rule : d/dx (u*v) = u*dv/dx + v*du/dx

x = cot(y)= cos(y)/sin(y)

dx/dy = -cos(y)*(cos(y)/sin(y)2) + 1/sin(y)* (-sin(y))

         = -cos2(y)/sin2(y) -1 = - cos2(y)/sin2(y) -sin2(y)​ /sin2(y)

         = -(sin2(y)+ cos2(y))/sin2(y)​ = -cosec2(y)

cosec2(y) = 1 + cot2(y)

x = cot(y)

dx/dy = -(1 + x2)

dy/dx = -1/(1+x2)

Sahiti S. GCSE Maths tutor, A Level Economics tutor, A Level Maths tutor

2 years ago

Answered by Sahiti, an A Level Maths tutor with MyTutor


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

258 SUBJECT SPECIALISTS

£20 /hr

Andrew B.

Degree: Economics L100 (Bachelors) - Exeter University

Subjects offered: Maths, Economics

Maths
Economics

“About Me: I am an economics student at Exeter University, I have a real passion for economics and how applicable it is to the world around us, and I hope my enthusiasm for it comes across in my tutorials and helps to inspire you! I'm...”

£20 /hr

Zoe N.

Degree: Computer Science (Masters) - St. Andrews University

Subjects offered: Maths, English+ 1 more

Maths
English
Computing

“About me: I'm a first year computer science student at the University of St. Andrews. I have been a private tutor previously for two years but I have been helping my younger brother with the subjects he struggles with for many more ye...”

MyTutor guarantee

£20 /hr

Jake B.

Degree: Mathematics (Masters) - Durham University

Subjects offered: Maths, Chemistry

Maths
Chemistry

“About Me: Hi, my name is Jake, and I am a second year Mathematics Student at Durham University. I have tutored maths for 3 years now, at both GCSE and A level, and I absolutely love it! I My Sessions: During the sessions I will cove...”

About the author

Sahiti S.

Currently unavailable: for new students

Degree: Natural Sciences (Bachelors) - Durham University

Subjects offered: Maths, Economics

Maths
Economics

“Hi, my name is Sahiti and I am a second year natural sciences student (studying maths, economics and computer science).  Why me? I am passionate about both maths and economics, which both make up a major part of my degree. I l love t...”

You may also like...

Posts by Sahiti

How do you solve the simultaneous equations 3x + 4y = 5 and 2x – 3y = 9

If x = cot(y) what is dy/dx?

What is the Current Account

Other A Level Maths questions

Prove the identity: sin^2(x)+cos^2(x) = 1

What is the integral of sin^2(x)?

If (m+8)(x^2)+m=7-8x has two real roots show that (m+9)(m-8)<0 where m is an arbitrary constant

A Definitive Guide to Differentiation

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok