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Turunan pertama dari adalah ...

Turunan pertama dari begin mathsize 12px style f left parenthesis x right parenthesis equals 3 x cubed minus 6 x squared plus 3 end style adalah ...

  1. begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals x cubed minus 3 x squared plus 3 x end style

  2. begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals 9 x squared minus 12 x plus 3 end style

  3. begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals 9 x squared minus 12 x end style

  4. begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals 9 x squared plus 12 x end style

  5. begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals 9 x squared minus 12 end style

Jawaban:

Fungsi turunan

begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals ax to the power of straight n end style memiliki fungsi turunan begin mathsize 14px style straight f to the power of apostrophe left parenthesis straight x right parenthesis equals straight a left parenthesis straight n right parenthesis straight x to the power of straight n minus 1 end exponent end style

Sehingga

begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals 3 straight x cubed minus 6 straight x squared plus 3 rightwards arrow straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 left parenthesis 3 right parenthesis straight x squared minus 6 left parenthesis 2 right parenthesis straight x equals 9 straight x squared minus 12 straight x end style

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