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Turunan dari  adalah ....

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Turunan dari begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 4 x minus 7 over denominator 2 x plus 5 end fraction end style adalah .... 

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Pembahasan Video:

Pembahasan Soal:

Fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator u left parenthesis x right parenthesis over denominator v left parenthesis x right parenthesis end fraction end style turunannya dapat dicari dengan menggunakan rumus begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals fraction numerator u apostrophe v minus u v apostrophe over denominator v squared end fraction end style. Oleh karena itu, turunan dari begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator 4 x minus 7 over denominator 2 x plus 5 end fraction end style dapat dicari sebagai berikut.

begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator 4 x minus 7 over denominator 2 x plus 5 end fraction u equals 4 x minus 7 space space space space space space space space space space space space space v equals 2 x plus 5 u apostrophe equals 4 space space space space space space space space space space space space space space space space space space space v apostrophe equals 2 end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator u apostrophe v minus v apostrophe u over denominator v squared end fraction end cell row cell space space space space space space end cell equals cell fraction numerator 4 left parenthesis 2 x plus 5 right parenthesis minus 2 left parenthesis 4 x minus 7 right parenthesis over denominator blank end fraction end cell row cell space space space space space space end cell equals cell fraction numerator 8 x plus 20 minus 8 x plus 14 over denominator 4 x squared plus 20 x plus 25 end fraction end cell row cell space space space space space space end cell equals cell fraction numerator 34 over denominator 4 x squared plus 20 x plus 25 end fraction end cell end table end style

Dengan demikian, turunan dari undefined adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell f apostrophe left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 34 over denominator 4 x squared plus 20 x plus 25 end fraction end cell end table end style.

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Terakhir diupdate 05 Mei 2021

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