Given y = 2x(x^2 – 1)^5, show that dy/dx = g(x)(x^2 – 1)^4 where g(x) is a function to be determined.

y=2x(x2-1)5dy/dx= 2(x2-1)5 + 2x*10x(x2-1)4dy/dx=(x2-1)4(2x2-2+20x2)dy/dx=(x2-1)4(22x2-2)

KS
Answered by Katie S. Maths tutor

8979 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Imagine a sector of a circle called AOB. With center O and radius rcm. The angle AOB is R in radians. The area of the sector is 11cm². Given the perimeter of the sector is 4 time the length of the arc AB. Find r.


How do I calculate the rate of change of something for which I don't have an equation?


How do I solve x^2 > 6 - x


What is the gradient of the curve y = 2x^3 at the point (2,2)?


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:

© 2026 by IXL Learning