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Dengan menggunakan aturan rantai tentukan turunan fungsi berikut ! f ( x ) = 3 x 2 − 4 1

Dengan menggunakan aturan rantai tentukan turunan fungsi berikut !

$f (x) = \frac{1}{3 x ^{2} - 4}$

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Aturan rantai dapat dibuat,

Aturan rantai dapat dibuat, left parenthesis f o g right parenthesis apostrophe left parenthesis x right parenthesis space equals space f apostrophe left parenthesis g left parenthesis x right parenthesis right parenthesis space. space g apostrophe left parenthesis x right parenthesis

$f left parenthesis x right parenthesis space equals space fraction numerator 1 over denominator square root of 3 x squared minus 4 end root end fraction f left parenthesis x right parenthesis space equals open parentheses 3 x squared minus 4 close parentheses to the power of negative 1 half end exponent f apostrophe left parenthesis x right parenthesis space equals space minus 1 half space. space left parenthesis 3 x squared minus 4 right parenthesis to the power of negative 3 over 2 end exponent space. space 6 x f apostrophe left parenthesis x right parenthesis space equals space fraction numerator negative 3 x over denominator left parenthesis 3 x squared minus 4 right parenthesis space. space square root of 3 x squared minus 4 end root end fraction$