Find the stationary pointsof the following: (y = x^3 - x^2 -16 x -17) and determine if each point is a maximum or minimum.

Notes; *Stationary (Turning) points are the points on the graph which are lowest or highest. (maximum or minima). *The gradient at a stationary point is zero. Steps:  1. Differentiate the function once to find the gradient function of the graph. (Find y') 2. Set the gradient function = to 0.  Solve this function to determine the x values of the stationary point(s). (Solve y' = 0) 3. Insert x values into original function to calculate the corrosponding y values.  4. Diffentiate gradient function to determine gradient of gradient and insert x values of max/min to determine if it is a maxima or minima. (Find y'' and insert xMin and xMax.) 5. If y > 0 it is a minimum and if y < 0 it is a maximum point.

Answered by Charlie M. Maths tutor

3140 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the equation of the normal of the curve xy-x^2+xlog(y)=4 at the point (2,1) in the form ax+by+c=0


(Core 3 level) Integrate the function f(x) = 2 -cos(3x) between the bounds 0, pi/3.


Given that the curve y = 3x^2 + 6x^1/3 + (2x^3)/3x^1, find an expression for the gradient of the curve.


Integrate xsin2x


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