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Turunan pertama dari  adalah ....

Turunan pertama dari f left parenthesis x right parenthesis equals open parentheses x to the power of negative 3 end exponent plus 2 x close parentheses left parenthesis 3 x plus 2 x squared right parenthesis adalah .... 

Jawaban:

Diketahui f left parenthesis x right parenthesis equals open parentheses x to the power of negative 3 end exponent plus 2 x close parentheses left parenthesis 3 x plus 2 x squared right parenthesis

straight u equals straight x to the power of negative 3 end exponent plus 2 straight x straight u to the power of apostrophe equals negative 3 straight x to the power of negative 4 end exponent plus 2 dan straight v equals 3 straight x plus 2 straight x squared straight v to the power of apostrophe equals 3 plus 4 straight x

Mencari turunan pertama dengan f to the power of apostrophe left parenthesis x right parenthesis equals straight u to the power of apostrophe straight v plus vu to the power of apostrophe

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell f to the power of italic apostrophe italic left parenthesis x italic right parenthesis end cell equals cell straight u to the power of apostrophe straight v plus vu to the power of apostrophe end cell row blank equals cell open parentheses negative 3 x to the power of negative 4 end exponent plus 2 close parentheses left parenthesis 3 x plus 2 x squared right parenthesis plus left parenthesis x to the power of negative 3 end exponent plus 2 x right parenthesis left parenthesis 3 plus 4 x right parenthesis end cell row blank equals cell negative 9 x to the power of negative 3 end exponent minus 6 x to the power of negative 2 end exponent plus 6 x plus 4 x squared plus 3 x to the power of negative 3 end exponent plus 4 x to the power of negative 2 end exponent plus 6 x plus 8 x end cell row blank equals cell negative 6 x to the power of negative 3 end exponent minus 2 x to the power of negative 2 end exponent plus 4 x squared plus 20 x end cell end table

Jadi, turunan pertama dari f left parenthesis x right parenthesis equals open parentheses x to the power of negative 3 end exponent plus 2 x close parentheses left parenthesis 3 x plus 2 x squared right parenthesis adalah Error converting from MathML to accessible text..

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