Pertanyaan

Turunan pertama fungsi f ( x ) = x 2 2 x 6 − 3 x 4 adalah f ( x ) = ...

Turunan pertama fungsi $f (x) = \frac{2 x ^{6} - 3 x ^{4}}{x ^{2}}$ adalah $f (x) = ...$

A. Acfreelance

Master Teacher

Mahasiswa/Alumni UIN Walisongo Semarang

Jawaban terverifikasi

Jawaban

turunan pertama

turunan pertama $table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight x close parentheses end cell equals cell fraction numerator 2 straight x to the power of 6 minus 3 straight x to the power of 4 over denominator straight x squared end fraction space equals 12 straight x to the power of 10 minus 16 straight x to the power of 6 end cell end table$

Pembahasan

Jadi turunan pertama

$table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight x close parentheses end cell equals cell fraction numerator 2 straight x to the power of 6 minus 3 straight x to the power of 4 over denominator straight x squared end fraction space dimana space table row cell straight u equals 2 straight x to the power of 6 minus 3 straight x to the power of 4 end cell cell straight v equals straight x squared end cell row cell straight u apostrophe equals 12 straight x to the power of 5 minus 12 straight x cubed end cell cell straight v apostrophe equals 2 straight x end cell end table end cell row cell straight f apostrophe open parentheses straight x close parentheses end cell equals cell fraction numerator straight u apostrophe straight v minus uv apostrophe over denominator straight v squared end fraction end cell row blank equals cell fraction numerator open parentheses 12 straight x to the power of 5 minus 12 straight x cubed close parentheses straight x squared minus open parentheses 2 straight x to the power of 6 minus 3 straight x to the power of 4 close parentheses 2 straight x over denominator open parentheses straight x squared close parentheses squared end fraction end cell row blank equals cell fraction numerator 12 straight x to the power of 10 minus 12 straight x to the power of 6 minus 4 straight x to the power of 6 plus 6 straight x to the power of 4 over denominator straight x to the power of 4 end fraction end cell row blank equals cell fraction numerator 12 straight x to the power of 10 minus 16 straight x to the power of 6 plus 6 straight x to the power of 4 over denominator straight x to the power of 4 end fraction end cell row blank equals cell 12 straight x to the power of 10 minus 16 straight x to the power of 6 end cell end table$

Jadi turunan pertama $table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight x close parentheses end cell equals cell fraction numerator 2 straight x to the power of 6 minus 3 straight x to the power of 4 over denominator straight x squared end fraction space equals 12 straight x to the power of 10 minus 16 straight x to the power of 6 end cell end table$