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.

CM

Related Maths A Level answers

All answers ▸

Find the differential of f(x)=y where y=3x^2+2x+4. Hence find the coordinates of the minimum point of f(x)


Ball P is shot at 18m/s horizontally from the top of a 32m mast. Ball Q is shot at 30m/s at an angle 'a' to the horizontal from the bottom of the mast. They collide mid-air. Prove that cos'a' = 3/5


Calculate the volume obtained when rotating the curve y=x^2 360 degrees around the x axis for 0<x<2


How do you find the inverse of a function?