Given that y=sin2x(3x-1)^4, find dy/dx

This is an example of the product rule. In this, y=uv and dy/dx = u(dv/dx) + v(du/dx) u = sin2x so du/dx = 2 * cos2x = 2cos2x v = (3x-1)4 so dv/dx = 4 * 3 * (3x-1)3 = 12(3x-1)3 Therefore dy/dx = sin2x * 12(3x-1)3 + (3x-1)4 * 2cos2x = 12sin2x(3x-1)3 + 2cos2x(3x-1)4

CU
Answered by Chisom U. Maths tutor

3693 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate f(x) = 14*(x^2)*(e^(x^2))


OCR M2 A level maths June 2015 question 8


How would I answer this question? Use factor theorem to show (x-2) is a factor of f(x) = 2x^3 -7x^2 +4x +4.


Find the integral of 4/(1-x^2) dx:


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