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)

Answered by Daniel S. Maths tutor

4739 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I differentiate an algebraic expression? (e.g. y=3x^4 - 8x^3 - 3) [the ^ represents x being raised to a power]


solve 3 cos (2y )- 5 cos( y)+ 2 =0 where 0<y<360 degrees


Why is the inverse of a gradient -1/x?


When you integrate, why do you need to add a +C on the end?


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