Inciado del ejercicio: Resolver: \( y^{\prime \prime}+5 y^{\prime}+6 y=0 \) con \( y(0)=0, y^{\prime}(0)=1 \)

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

Differentiate. \( F(x)=\frac{1}{9 x-7} \)

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

Differentiate. (Hint: Use the Extended Power Rule.) \( g(x)=(\ln x)^{4} \)

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