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Dengan menggunakan konsep turunan, tentukan turuna...

Dengan menggunakan konsep turunan, tentukan turunan fungsi berikut.

a. begin mathsize 14px style f left parenthesis x right parenthesis equals x to the power of negative 3 end exponent end style 

Jawaban:

Ingat!

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell f 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 cell a x to the power of n comma space maka space f apostrophe left parenthesis x right parenthesis end cell equals cell a times n times x to the power of n minus 1 end exponent end cell end table end style   

Dengan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row a equals cell koefisien space variabel space x end cell row x equals variabel end table end style  

Sehingga, turunan fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals x to the power of negative 3 end exponent end style adalah:

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 open parentheses negative 3 close parentheses times x to the power of negative 3 minus 1 end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell negative 3 x to the power of negative 4 end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell negative 3 over x to the power of 4 end cell end table end style 

Jadi, turunan fungsi tersebut adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 3 over x to the power of 4 end cell end table end style.

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