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

To differentiate the quotient of two functions f(x)/g(x) you can use the quotient rule, the formula of which is: (f'(x)*g(x)-f(x)*g'(x))/g2(x)

it is important to remember which part you have to differentiate first: let's pick our f(x)/g(x) again

the trick I used was thinking that in the derivative the denominator has to be squared (g2(x)), so it gets "tired". Therefore, in the first part of our numerator, f(x) will be derived while g(x) rests and remains the same, and to that we will subtract f(x) multiplied by the derivative of g(x)

Answered by Riccardo P. Maths tutor

8100 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The equation 2x^2 + 2kx + (k + 2) = 0, where k is a constant, has two distinct real roots. Show that k satisfies k^2 – 2k – 4 > 0


A ball is kicked and has an instantaneous velocity of 19.6m/s at an angle of 30 degrees to the horizontal. A target lies flat on the ground in the direction the ball is kicked and lies at a distance of (98/5)*(3^1/2)m. Does the ball land on the target?


Which A-level modules did you take?


Why do we have to add the +c when integrating a function


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