Use the product rule to differentiate y=2xsinx

The product rule states that y=uv and dy/dx=(u)dv/dx + (v)du/dx. As the equation is in this form we can let u=2x and v=sinx. Therefore du/dx=2 and dv/dx=cosx. Substituting for u and v we get dy/dx=(2x)(cosx) + (sinx)(2) so dy/dx=2(xcosx + sinx).

GK
Answered by Georgianna K. Maths tutor

14065 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the 'chain rule'?


Use the identity for sin(A+B) to find the exact value of sin 75.


Find the area R under the curve when f(x)=xcos(x) between the limits x=0 and x=2


A Definitive Guide to Differentiation


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences