A curve has equation y = 20x −x^2 −2x^3 . The curve has a stationary point at the point M where x = −2. Find the x-coordinate of the other stationary point of the curve.

dy/dx = 20 - 2x - 6x2 = -6x2 - 2x + 20 which factorises to dy/dx = (10 - 6x)(2 + x). This shows that x=-2 and x=10/6=5/3 are stationary points of y = 20x −x2 −2x3.

XY
Answered by Xixi Y. Maths tutor

5766 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What are differences between speed and velocity, velocity and speed and acceleration?


Integrate the function x(2x+5)^0.5


Describe the set of transformations that will transformthe curve y=x^ to the curve y=x^2 + 4x - 1


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


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