How to differentiate y=2x(x-2)^5 to find dy/dx?

Firstly, you should formulate the problem by using the product rule, which is: dy/dx = u'v + v'uBy assigning u=2x and v=(x-2)5 , the terms u' and v' can be obtained knowing that u' simply means differentiation of u with respect to x and v' is the differential of v with respect to x.u' = 2;v' = 51(x-2)^4Combining the terms, dy/dx = 2(x-2)5 + 10x(x-2)4 which is in its simplest form and provides the answer for subsequent question parts.

AP
Answered by Anup P. Maths tutor

4898 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do i remember the difference between differentiation and integration?


Given that (2x-1) : (x-4) = (16x+1) : (2x-1), find the possible values of x


Find the minimum value of the function, f(x) = x*exp(x)


Calculate the volume obtained when rotating the curve y=x^2 360 degrees around the x axis for 0<x<2


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