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.

Answered by Cosmin B. Maths tutor

4303 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you differentiate y=ln(x)


The mass, m grams, of a substance is increasing exponentially so that the mass at time t hours is m=250e^(0.021t). Find the time taken for the mass to double in value.


A particle P of mass 2 kg is held at rest in equilibrium on a rough plan. The plane is inclined to the horizontal at an angle of 20°. Find the coefficient of friction between P and the plane.


Find the indefinite integral of Ln(x)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences