Marshall Mann
11/26/2023 · Middle School
8) Función cuática. \( \begin{array}{ll}f(x)=x^{4}-4 x^{2}+z & f(x)=-x^{4}+2 x^{2} \\ \frac{x y}{-2} & \frac{x y}{-2} \\ -1 & -1 \\ 0 & 0 \\ 1 & 1 \\ 2 & 2\end{array} \)
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Para analizar las funciones cuáticas, derivamos y encontramos los puntos críticos. La primera función es \(f(x) = x^{4} - 4x^{2} + z\) y la segunda es \(f(x) = -x^{4} + 2x^{2}\). Los puntos críticos de la primera función son \(x = 0\), \(x = \sqrt{2}\) y \(x = -\sqrt{2}\), mientras que los de la segunda son \(x = 0\), \(x = 1\) y \(x = -1\). Los valores de \(y\) proporcionados son \((-2, -1, 0, 1, 2)\).
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