Pertanyaan

Turunan pertama dari f ( x ) = 3 ( sin 2 3 x ) adalah f ( x ) = ....

Turunan pertama dari $f (x) = 3 (sin^{2} 3 x)$ adalah $f (x)$ =....

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Klaim

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Ingat ! Maka :

Ingat !

Maka :

$table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell cube root of sin squared space 3 x end root space equals space open parentheses sin space 3 x close parentheses to the power of 2 over 3 end exponent end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell open parentheses 2 over 3 open parentheses sin space 3 x close parentheses to the power of negative 1 third end exponent close parentheses cos space 3 x. space 3 end cell row cell space space space space space space space space end cell equals cell 2 space cos space 3 x space open parentheses sin space 3 x close parentheses to the power of negative 1 third end exponent end cell row space equals cell fraction numerator 2 space cos space 3 x over denominator open parentheses sin space 3 x close parentheses to the power of begin display style 1 third end style end exponent end fraction end cell row blank equals cell space fraction numerator 2 space cos space 3 x over denominator sin space 3 x space open parentheses sin space 3 x close parentheses to the power of negative begin display style 2 over 3 end style end exponent end fraction end cell row blank equals cell 2 space cot space 3 x space open parentheses sin space 3 x close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell 2 space cot space 3 x space open parentheses sin space 3 x close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell 2 space cot space 3 x space cube root of sin squared space 3 x end root end cell end table$