\( \frac{5}{6}\left(3^{x^{2}}-5 x-3\right)+\frac{7}{2} x \) Derivadal

8. \( \lim _{x \rightarrow 4} \frac{\sqrt{3 x-3}-3}{2-\sqrt{x}} \) Ans.: -2

\( f ( x ) = \frac { x + 10 } { x - 4 } \quad D f = ? \)

Use the intermediate value theorem to show that the function has a real zero between the two numbers given. Then, use your calculator to approximate the zer \( P(x)=4 x^{2}-2 x-6 ; 1 \) and 2 \( P(1)=\square \)

1) Integrer les equations suivante 1) \( y^{\prime}=\frac{1+y^{2}}{1+x^{2}} \) 2) \( y^{\prime \prime}-3 y^{\prime}+2 y=x^{2}-3 x \)

Calculate the maximum value of \( S \) if \( S=\frac{6}{x^{2}+2} \)