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Turunan pertama dari f ( x ) = 6 x − 2 10 x 2 + 4 ​ adalah ....

Turunan pertama dari adalah ....

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A. Acfreelance

Master Teacher

Mahasiswa/Alumni UIN Walisongo Semarang

Jawaban terverifikasi

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turunan pertama adalah

turunan pertama straight f open parentheses straight x close parentheses equals fraction numerator 10 straight x squared plus 4 over denominator 6 straight x minus 2 end fractionadalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 x squared minus 2 over denominator 3 x squared minus 3 x plus 1 end fraction end cell end table

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Misalkan Maka Jadi turunan pertama adalah

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table attributes columnalign right center left columnspacing 0px end attributes row straight u equals cell 10 straight x squared plus 4 space end cell row cell straight u to the power of apostrophe end cell equals cell 20 straight x end cell row straight v equals cell 6 straight x minus 2 end cell row cell straight v to the power of apostrophe end cell equals 6 end table

Maka

table attributes columnalign right center left columnspacing 0px end attributes row cell straight y apostrophe end cell equals cell fraction numerator u apostrophe v minus u v apostrophe over denominator v squared end fraction end cell row blank equals cell fraction numerator 20 x squared open parentheses 6 straight x minus 2 close parentheses minus 10 straight x squared plus 4 open parentheses 6 close parentheses over denominator open parentheses 6 straight x minus 2 close parentheses squared end fraction end cell row blank equals cell fraction numerator 120 x squared minus 60 x squared plus 24 minus 40 over denominator 36 x squared minus 24 x plus 4 end fraction end cell row blank equals cell fraction numerator 60 x squared minus 16 over denominator 36 x squared minus 24 x plus 4 end fraction end cell row blank equals cell fraction numerator 15 x squared minus 4 over denominator 9 x squared minus 6 x plus 1 end fraction end cell row blank equals cell fraction numerator 5 x squared minus 2 over denominator 3 x squared minus 3 x plus 1 end fraction end cell end table

Jadi turunan pertama straight f open parentheses straight x close parentheses equals fraction numerator 10 straight x squared plus 4 over denominator 6 straight x minus 2 end fractionadalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 x squared minus 2 over denominator 3 x squared minus 3 x plus 1 end fraction end cell end table

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