Evaluating a Quartic Function and Its Nature

Very Hard Passport To Advanced Math Non-linear Expressions

Let the function defined by the equation:

$$f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1$$

Evaluate the expression $$f(2)$$ and determine its nature (maxima, minima, or saddle point) using calculus.

$$f(2) = 1$$, and the point is a minimum.

$$f(2) = 3$$, and the point is a maximum.

$$f(2) = 0$$, and the point is a saddle point.

$$f(2) = 2$$, and the point is a minimum.

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