Differentiate: y=12x(2x+1)+1/x

This question has two parts, firstly the "12x(2x+1)" this is a product rule format, the 1/x is a simple differentiation format but for ease should be written as "x^(-1)" solution: dy/dx= 12(2x+1)+12x(2)-x^(-2) this can be simplified by expanding brackets first then collecting terms: dy/dx= 24x+12+24x-x^(-2) Then we collect terms to get the final answer of: dy/dx=48x+12-x^(-2)

DS
Answered by Daniel S. Maths tutor

4781 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Consider the closed curve between 0 <= theta < 2pi given by r(theta) = 6 + alpha sin theta, where alpha is some real constant strictly between 0 and 6. The area in this closed curve is 97pi/2. Calculate the value of alpha.


Given that x = 4sin(2y + 6), Find dy/dx in terms of x


A particle of mass 5kg is held at rests on a slope inclined at 30 degrees to the horizontal. The coefficient of friction for the slope is 0.7, determine whether the particle will move when released.


Differentiate y=x^4sinx


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