A curve is given by the equation
Find the range of values of
for which the curve has exactly two stationary points. Assuming
is chosen from within this range, find, in terms of the coordinate of each stationary point. Hence, prove, using the second derivative test, that one of these stationary points is a maximum point and the other is a minimum point.
After finding
You can solve this by completing the square or by using the formula.
When you find the second derivative, it might look unpleasant, and you really aren't looking forward to substituting the