رياضيات فصل أول

          $1) (f\left(x\right).g{\left(x\right))}^{\text{'}} = f^{\text{'}}\left(x\right).g\left(x\right) + f\left(x\right).g^{\text{'}}\left(x\right)2) (f\left(x\right).g\left(x\right).h{\left(x\right))}^{\text{'}} = f^{\text{'}}\left(x\right).g\left(x\right).h\left(x\right) + f\left(x\right).g^{\text{'}}\left(x\right).h\left(x\right)+ f\left(x\right).g\left(x\right).h^{\text{'}}\left(x\right)$ 

           $1) {\left(\frac{f\left(x\right)}{g\left(x\right)}\right)}^{\text{'}}=\frac{f^{\text{'}}\left(x\right).g\left(x\right) - f\left(x\right).g^{\text{'}}\left(x\right)}{{\left(g\left(x\right)\right)}^2} 2) {\left(\frac{a}{g\left(x\right)}\right)}^{\text{'}}=\frac{ - a.g^{\text{'}}\left(x\right)}{{\left(g\left(x\right)\right)}^2} a is cons\tan t$

   

               $y^n= \frac{d^{n}y}{d{x}^n}= f^n\left(x\right)=\frac{d^n}{d{x}^n}\left(f\right(x\left)\right)$