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
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