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Turunan pertama dari f open parentheses x close parentheses equals open parentheses 2 x minus 1 close parentheses open parentheses x squared minus x close parentheses to the power of 4 adalah ...

  1. f to the power of apostrophe open parentheses x close parentheses equals 2 open parentheses x squared minus x close parentheses cubed open parentheses x squared minus 5 x minus 2 close parentheses

  2. f to the power of apostrophe open parentheses x close parentheses equals 2 open parentheses x squared minus x close parentheses cubed open parentheses 5 x squared minus 5 x plus 2 close parentheses

  3. f to the power of apostrophe open parentheses x close parentheses equals 2 open parentheses x squared minus x close parentheses cubed open parentheses 9 x squared minus 7 x plus 2 close parentheses

  4. f to the power of apostrophe open parentheses x close parentheses equals 2 open parentheses x squared minus x close parentheses cubed open parentheses 9 x squared minus 9 x plus 1 close parentheses

  5. f to the power of apostrophe open parentheses x close parentheses equals 2 open parentheses x squared minus x close parentheses cubed open parentheses 9 x squared minus 9 x plus 2 close parentheses

K. Putri

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Ganesha

Jawaban terverifikasi

Pembahasan

Ingat kembali aturan turunan berikut ini :

f open parentheses x close parentheses equals u open parentheses x close parentheses. v open parentheses x close parentheses rightwards double arrow f to the power of apostrophe open parentheses x close parentheses equals u to the power of apostrophe open parentheses x close parentheses space v open parentheses x close parentheses plus u open parentheses x close parentheses space v to the power of apostrophe open parentheses x close parentheses

Misalkan :

u open parentheses x close parentheses equals 2 x minus 1  u to the power of apostrophe open parentheses x close parentheses equals 2  v open parentheses x close parentheses equals open parentheses x squared minus x close parentheses to the power of 4  v to the power of apostrophe open parentheses x close parentheses equals 4 open parentheses x squared minus x close parentheses cubed open parentheses 2 x minus 1 close parentheses

Maka,

f open parentheses x close parentheses equals open parentheses 2 x minus 1 close parentheses open parentheses x squared minus x close parentheses to the power of 4  f to the power of apostrophe open parentheses x close parentheses equals 2 open parentheses x squared minus x close parentheses to the power of 4 plus open parentheses 2 x minus 1 close parentheses space 4 open parentheses x squared minus x close parentheses cubed open parentheses 2 x minus 1 close parentheses  f to the power of apostrophe open parentheses x close parentheses equals 2 open parentheses x squared minus x close parentheses to the power of 4 plus open parentheses 2 x minus 1 close parentheses squared space 4 open parentheses x squared minus x close parentheses cubed  f to the power of apostrophe open parentheses x close parentheses equals 2 open parentheses x squared minus x close parentheses cubed open square brackets open parentheses x squared minus x close parentheses plus 2 open parentheses 2 x minus 1 close parentheses squared close square brackets  f to the power of apostrophe open parentheses x close parentheses equals 2 open parentheses x squared minus x close parentheses cubed open square brackets open parentheses x squared minus x close parentheses plus 8 x minus 8 x plus 2 close square brackets  f to the power of apostrophe open parentheses x close parentheses equals 2 open parentheses x squared minus x close parentheses cubed open square brackets 9 x squared minus 9 x plus 2 close square brackets

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Tentukan turunan pertama fungsi-fungsi berikut! f(x)=(5x−2x2)(3x−1)3

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