Question 49: Given the function y=f(x) with the graph f ‘(x) as shown in the figure The function \(f\left(x^{2}\right)\) covariates which of the following?

Put \(g(x)=f\left(x^{2}\right)\)

\(g^{\prime}(x)=2 xf^{\prime}\left(x^{2}\right) \Leftrightarrow g^{\prime}(x)=0 \Leftrightarrow\left[\begin{array}{l}x=0\\x^{2}=-1\\x^{2}=0\\x^{2}=1\end{array}\Leftrightarrow\left[\begin{array}{l}x=0\\x=1\\x=-1\end{array}\right\right\)

Variation table of g(x)

Based on the table of variation of the covariate function in the range (-1;0).

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