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

3971 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A ball is fired from a cannon at 20m/s at an angle of 56degrees to the horizontal. Calculate the horizontal distance the ball travels as well as its maximum height reached.


differentiate with respect to x. i). x^(1/2) ln (3x),


Integrate (x^2+4x+13)/((x+2)^2)(x-1) dx by using partial fractions


Differentiate y=sin(x)*x^2.


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning