Roboguru

Turunan dari  adalah ....

Pertanyaan

Turunan dari square root of 3 x end root adalah ....

Pembahasan Soal:

Misalkan f open parentheses x close parentheses equals square root of 3 x end root. Berdasarkan sifat bilangan berpangkat pecahan yaitu open parentheses a close parentheses to the power of 1 over n end exponent equals n-th root of a comma space a greater or equal than 0 spacemaka f open parentheses x close parentheses equals square root of 3 x end root equals open parentheses 3 x close parentheses to the power of 1 half end exponent. Menurut konsep turunan text ke end text minus n spacepada suatu fungsi maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell open parentheses 3 x close parentheses to the power of 1 half end exponent end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell 1 half cross times open parentheses 3 x close parentheses to the power of 1 half minus 1 end exponent cross times 3 end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell 3 over 2 cross times open parentheses 3 x close parentheses to the power of negative 1 half end exponent end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell 3 over 2 cross times 1 over open parentheses 3 x close parentheses to the power of begin display style 1 half end style end exponent end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell 3 over 2 cross times fraction numerator 1 over denominator square root of 3 x end root end fraction end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator 3 over denominator 2 square root of 3 x end root end fraction cross times fraction numerator square root of 3 x end root over denominator square root of 3 x end root end fraction end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator square root of 3 x end root over denominator 2 open parentheses 3 x close parentheses end fraction end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator square root of 3 x end root over denominator 6 x end fraction end cell end table


Jadi turunan dari square root of 3 x end root adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 3 x end root over denominator 6 x end fraction. end cell end table

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 09 Juni 2021

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