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

8658 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

find the derivative of the following equation: a) y = 5x^3 - 4x^-4 + xb


A curve is defined by the parametric equations x=t^2/2 +1 and y=4/t -1. Find the gradient of the curve at t=2 and an equation for the curve in terms of just x and y.


Consider the unit hyperbola, whose equation is given by x^2 - y^2 = 1. We denote the origin, (0, 0) by O. Choose any point P on the curve, and label its reflection in the x axis P'. Show that the line OP and the tangent line to P' meet at a right angle.


Integrate xsin(x) by parts between the limits of -pi/2 and +pi/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