حمّل تطبيق منهاجي الجديد

منهاجي صار أسرع من خلال التطبيق

  إجابات كتاب التمارين

إجابات كتاب التمارين

مشتقتا الضرب والقسمة

أجد مشتقة كل اقتران ممّا يأتي:

(1) begin mathsize 20px style f left parenthesis x right parenthesis equals 2 x left parenthesis 1 plus 3 x squared right parenthesis cubed end style

begin mathsize 20px style table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell f to the power of straight prime left parenthesis x right parenthesis end cell cell equals left parenthesis 2 x right parenthesis cross times 3 left parenthesis 1 plus 3 x squared right parenthesis squared left parenthesis 6 x right parenthesis plus left parenthesis 1 plus 3 x squared right parenthesis cubed left parenthesis 2 right parenthesis end cell row blank cell equals 36 x squared left parenthesis 1 plus 3 x squared right parenthesis squared plus 2 left parenthesis 1 plus 3 x squared right parenthesis cubed end cell row blank cell equals left parenthesis 1 plus 3 x squared right parenthesis squared left parenthesis 42 x squared plus 2 right parenthesis end cell end table end style

(2) begin mathsize 20px style f left parenthesis x right parenthesis equals fraction numerator x minus 2 over denominator x plus 2 end fraction end style

begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

(3) begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

(4) begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

(5) begin mathsize 20px style f left parenthesis x right parenthesis equals fraction numerator 3 x plus 5 over denominator left parenthesis x plus 1 right parenthesis squared end fraction end style

begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

(6) begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

(7) begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

بفك الأقواس:

begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

أو بتطبيق قاعدة مشتقة ضرب اقترانين:

begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

(8) begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

(9) begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

begin mathsize 18px style fraction numerator 0.01 space mol over denominator 0.4 space straight L end fraction end style

 

إعداد : شبكة منهاجي التعليمية

10 / 07 / 2023

النقاشات