Given that y = sin(2x)(4x+1)^3, find dy/dx

The product rule states that (uv)' = u'v + uv' Therefore we know that to find dy/dx we must have (sin(2x))'(4x+1)^3 +sin(2x)((4x+1)^3)' We can differentiate sin(2x) to 2cos(2x) and using the chain rule we can differentiate (4x+1)^3 to 12(4x+1)^2 Therefore our answer is 12sin(2x)(4x+1)^2 + 2cos(2x)(4x+1)^3

MM
Answered by Myles M. Maths tutor

4156 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

differentiate tanx


Find the two real roots of the equation x^4 -5=4x^2 Give the roots in an exact form.


Find the values of A between and including 0 and 360 degrees for tan(2A) = 3tan(A)


What is the binomial theorem and why is it true?


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