Find the domain of the function and identify any vertical, horizontal, and oblique asymptotes. \[ f(x)=\frac{9}{(x-3)^{3}} \]

Given the following function, determine the difference quotient, \( \frac{f(x+h)-f(x)}{h} \) \[ f(x)=x^{2}-7 x+3 \] Answer

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

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

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 : \( -2 \sqrt{3} \) est - il la valeur minimale de \( f \) sur \( D_{f} \).

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