Exercice 6: Soient \( A, B \) et \( C \) trois points non alignés du plan 1) Construire les points \( D \) et \( E \) tels que \( \overrightarrow{A D}=\frac{4}{3} \overrightarrow{A B} \) et \( \overrightarrow{C E}=\frac{1}{3} \overrightarrow{A C} \) \( \left.Q_{2}\right) \) Montrer que les deux droites \( (B C) \) et \( (D E) \) sont parallèles

а) \( 8 x-6 x+3 x-9 x \) б) \( 12 y+3 y+21 y-8 y \) в) \( y+8,2 y-8,5 y-y \) г) \( 3,6 x-6,1 y-0,4 y \)

1- Find the derivative of: \( \begin{aligned} f(x) & =3 x^{2}(4-5 x) \\ y & =\frac{5 x^{2}}{x^{3}+1} \\ f(x) & =\frac{\sqrt[3]{x}+2}{\sqrt[3]{x^{2}}+x} \\ f(x) & =\left(\frac{2}{\sqrt{x}}\right)\left(3 x^{4}+5 x\right) \\ f(x) & =x^{5}\left(3 x^{2}+5 x\right)(\sqrt{x}+3)\end{aligned} \)

Which statement best describes a line in slope-intercept form when the coefficient of the \( x \)-term is positive?

\( h = ( \frac { 2 b + 10 } { 4 z - 12 } ) ( \frac { 11 a + 5 } { 10 m - 3 z } ) ^ { 2 } \)

\( \left. \begin{array} { l } { x + y = 35 } \\ { x - 2 y = 5 } \\ \hline \end{array} \right. \)