Consider the function f(x) = x2-6x+20. This function has a stationary point at x = 3.
Determine the nature of this stationary point and how do we know this to be true.
It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.
It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.
It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.
It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.
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