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.

CB
Answered by Cosmin B. Maths tutor

4720 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you differentiate?


What is the chain rule and how does it work?


express (3x + 5)/(x^2 + 2x - 15) - 2/(x - 3) as a single fraction its simplest form


How do I differentiate something in the form f(x)/g(x)?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning