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 coordinates of the other stationary point.

First you must differentiate the given equation. This give you 20-2x-6x2. Since we are told that one of the stationary points is at x=-2, this is one of the factors of the differential equation. Meaning that the differential equation fully factorised is (10-6x)(2+x) =0.Wherever the differential equation has a solution pertaining to 0, this is a stationary point of the original curve. Hence x = 5/3 is the x coordinate of the second stationary point.

LW
Answered by Lawrence W. Maths tutor

3410 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How to get A and A* in Maths?


How do I integrate 2^x?


The curve C has the equation: y=3x^2*(x+2)^6 Find dy/dx


Find the 1st derivative of y = x^2 + 7x +3 and hence find the curves minima.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences