Which of the following is the second derivative of \( f(x)=e^{x^{2}} \) ? Select one: a. \( 2 e^{x^{2}}\left(2 x^{2}+1\right) \) b. \( e^{x^{2}} \) c. \( 2 e^{x^{2}} \) od. \( 4 x e^{x^{2}} \)

Determine the implied domain of the following function. Express your answer in interval notation.

Derivative DF \[ F(x)=\frac{x}{\sqrt[3]{x^{2}+4}} \]

Derivative DF \( F(x)=\frac{x}{\sqrt[3]{x^{2}+4}} \)

On considère la fonction numérique \( f \) définie par : \( f(x) \) 1. Determiner \( D f \). \( \forall x \in D_{f} \quad f(x) \geq-2 \sqrt{3} \). 2. Montrer que : 3. \( -2 \sqrt{3} \) est - il la valeur minimale de \( f \) sur \( D_{f} \).

Find the general form of \( f \) if \( f^{\prime}(x)=8 f(x) \).