Find the stationary points of y=x^3 + 3x^2 - 9x - 4

The stationary points of the function are the points at which the gradient is equal to 0. (If you draw out a standard y=x^3 graph, you can see the gradient is 0 at the points where the graph changes direction)1) Differentiate the expression to find the gradient2) Set this differential equation to equal 0, as this will give you the points at which the gradient is equal to 03) Find the roots of the equation by factorizing4) Substitute each of the roots found in place of 'x' in to the original equation for the graph, to find the corresponding y values.

Related Further Mathematics GCSE answers

All answers ▸

Find the x and y coordinates of the minimum of the following equation: y = x^2 - 14x + 55.


Let y = (4x^2 + 3)^4. Find dy/dx.


Find the coordinates of the stationary points on the curve y=x^5 -15x^3


Why does the discriminant b^2-4ac determine the number of roots of the quadratic equation ax^2+bx+c=0?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences