Pertanyaan

Turunan pertama dari y = 3 ( 6 x 2 − 1 ) 2 adalah...

Turunan pertama dari $y = 3 (6 x^{2} - 1)^{2}$ adalah...

$fraction numerator negative 8 x over denominator cube root of 6 x squared minus 1 end root end fraction$
$fraction numerator 8 x over denominator cube root of 6 x squared minus 1 end root end fraction$
$fraction numerator 2 over denominator 3 cube root of 6 x squared minus 1 end root end fraction$

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$y equals cube root of left parenthesis 6 x squared minus 1 right parenthesis squared end root equals open parentheses 6 x squared minus 1 close parentheses to the power of 2 over 3 end exponent y apostrophe equals 2 over 3 left parenthesis 6 x squared minus 1 right parenthesis to the power of negative 1 third end exponent. open parentheses 12 x close parentheses equals fraction numerator 24 x over denominator 3 end fraction. fraction numerator 1 over denominator cube root of 6 x squared minus 1 end root end fraction equals fraction numerator 8 x over denominator cube root of 6 x squared minus 1 end root end fraction$