Find the turning point(s) of the following function f(x) = x^2-2x+4. Determine whether the turning point is a minimum or maximum.
Differentiate f(x) with respect to x.You get f'(x) = 2x - 2Turning points occur when the derivative of f(x) = 0. In other words, when f'(x) = 0. This occurs when x=1.Now to determine if maximum or minimum, find f''(x) by differentiating f'(x) wrt x. f''(x) = 2. Since 2 is greater than 0, we know from theory that this point must be a minimum.
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