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

4776 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

y = x^3 ln x. Find dy/dx


A particle of mass m is placed on an slope with an incline 30 degrees. Once released it accelerates down the line of greatest slope at 2 m s^-2. What is the coefficient of friction between the particle and the slope?


Question 3 on the OCR MEI C3 June 2015 paper. Find the exact value of Integral x^3 ln x dx between 1 and 2.


Find the equation of the normal of the curve xy-x^2+xlog(y)=4 at the point (2,1) in the form ax+by+c=0


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