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

Answered by Chisom U. Maths tutor

3638 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given that y = 4x^3 – 5/(x^2) , x not equal to 0, find in their simplest form (a) dy/dx, and (b) integral of y with respect to x.


A) Differentiate ln(x) b) integrate ln(x)


Let f(x) and g(x) be two odd functions defined for all real values of x. Given that s(x)=f(x)+g(x), prove that s(x) is also an odd function.


Differentiate 6x^2+2x+1 by first principles, showing every step in the process.


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