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Pertanyaan

Turunan pertama fungsi f ( x ) = 5 ( 3 x 2 − 6 ) 4 ​ adalah f ( x ) = ...

Turunan pertama fungsi  adalah 

  1. fraction numerator 24 over denominator fifth root of open parentheses 3 x squared minus 6 close parentheses to the power of blank end root end fraction

  2. fraction numerator 24 over denominator 5 root index blank of open parentheses 3 x squared minus 6 close parentheses to the power of blank end root end fraction

  3. fraction numerator 24 x over denominator fifth root of open parentheses 3 x squared minus 6 close parentheses to the power of blank end root end fraction

  4. fraction numerator 24 x over denominator 5 fifth root of open parentheses 3 x squared minus 6 close parentheses to the power of blank end root end fraction

  5. fraction numerator 24 x over denominator 5 root index blank of open parentheses 3 x squared minus 6 close parentheses to the power of blank end root end fraction

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G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

jawaban yang benar adalah D.

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Pembahasan

Misalkan : Masukan aturan berikut : Kemudian cari turunan pertama dari Maka turunan parsial adalah : Oleh karena itu, jawaban yang benar adalah D.

Misalkan :

u equals left parenthesis 3 x squared minus 6 right parenthesis

Masukan aturan berikut :

table attributes columnalign right center left columnspacing 0px end attributes row cell u to the power of n end cell equals cell n times u to the power of n minus 1 end exponent end cell row cell u to the power of 4 over 5 end exponent end cell equals cell 4 over 5 u to the power of 4 over 5 minus 1 end exponent end cell row blank equals cell 4 over 5 u to the power of 4 over 5 minus 5 over 5 end exponent end cell row blank equals cell 4 over 5 u to the power of negative 1 fifth end exponent end cell end table

Kemudian cari turunan pertama dari u equals left parenthesis 3 x squared minus 6 right parenthesis to the power of 4 over 5 end exponent

table attributes columnalign right center left columnspacing 0px end attributes row cell u to the power of n end cell equals cell n times u to the power of n minus 1 end exponent end cell row u equals cell 3 x squared end cell row u equals cell 2 times 3 x to the power of 2 minus 1 end exponent end cell row cell u apostrophe end cell equals cell 6 x to the power of 1 end cell row cell u apostrophe end cell equals cell 6 x end cell end table

Maka turunan parsial  x adalah :

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator d f over denominator d x end fraction open parentheses 3 x squared minus 6 close parentheses to the power of 4 over 5 end exponent end cell equals cell u apostrophe cross times 4 over 5 u to the power of negative 1 fifth end exponent end cell row blank equals cell 6 x cross times 4 over 5 open parentheses 3 x squared minus 6 close parentheses to the power of negative 1 fifth end exponent end cell row blank equals cell fraction numerator 24 x over denominator 5 end fraction open parentheses 3 x squared minus 6 close parentheses to the power of negative 1 fifth end exponent end cell row blank equals cell fraction numerator 24 x over denominator 5 fifth root of open parentheses 3 x squared minus 6 close parentheses end root end fraction end cell end table

Oleh karena itu, jawaban yang benar adalah D.

624

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