How can we calculate the derivative of function f(x)= (x+2)/(x-1)?

In order to calculate the derivative of the given function, we need to apply the laws of derivation. Therefore:

f '(x) = ((x+2)/(x-1))'

f '(x) = [(x+2)' * (x-1) - (x+2) * (x-1)' ]/ (x-1)2

f '(x) = [ 1 * (x-1) - (x+2) * 1] / (x-1)2

f '(x) = x-1-x-2 / (x-1)2

f '(x) = -3 / (x-1)2

Therefore, we have calculated the derivative of the given function.

Cosmin B. A Level Maths tutor, GCSE Maths tutor, GCSE Computing tutor...

11 months ago

Answered by Cosmin, an A Level Maths tutor with MyTutor

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


£20 /hr

Andy C.

Degree: Maths and Philosophy (Bachelors) - Bristol University

Subjects offered: Maths


“Second year Maths and Philosophy student at Bristol. Looking to tutor Maths GCSE”

MyTutor guarantee

£20 /hr

Peter W.

Degree: Aerospace Engineering (Masters) - Queen's, Belfast University

Subjects offered: Maths, Physics+ 1 more

Further Mathematics

“Second year Aerospace Engineering student at Queen's University Belfast. Happy to offer help in Maths, Further Maths and Physics at GCSE and A-Level, which I have great experience in both learning and tutoring.”

£20 /hr

Chloe H.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered: Maths


“Hi there! My name is Chloe, I'm doing maths at the University of Warwick.  I love maths and I have a passion for helping other people understand it. I have previously tutored GCSE students as well as students in lower years. I am frie...”

MyTutor guarantee

About the author

Cosmin B.

Currently unavailable: for regular students

Degree: Computer Science (Bachelors) - University College London University

Subjects offered: Maths, Computing+ 1 more

-Personal Statements-

“I am currently a Computer Science student at University College London. I have always had a passion for science and technology  and I hope that I can share it with everyone else through my tutoring sessions. I am a calm and friendly p...”

You may also like...

Posts by Cosmin

How can we calculate the derivative of function f(x)= (x+2)/(x-1)?

How can we solve a two-equation, two-unknown values?

How can we write a C++ program to add two numbers?

The ratio between the molar mass of an alkene(A) and an alkyne(B) with the same number of carbon atoms is 1.05. Find the molecular formulas of the two hydrocarbons then write the reaction for how we can obtain the alkene A from the alkyne B.

Other A Level Maths questions

How to integrate cos^2(x) ? ("cos squared x")

How do I do integration by substitution?

What are the roots of 3x^2 + 13x + 4 ?

Find the values of x that satisfy the following inequality 3x – 7 > 3 – x

View A Level Maths tutors


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