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Jika dan , nilai

Jika begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x squared minus 2 a x plus 7 end style dan begin mathsize 14px style f apostrophe left parenthesis 1 right parenthesis equals 0 end style, nilai begin mathsize 14px style f apostrophe left parenthesis 2 right parenthesis equals... end style

  1. 2

  2. 6

  3. 5

  4. 4

  5. 3

Jawaban:

Ingat rumus turunan aljabar begin mathsize 14px style y equals a x to the power of n rightwards arrow y apostrophe equals a n x to the power of n minus 1 end exponent end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f left parenthesis straight x right parenthesis end cell equals cell 3 straight x squared minus 2 ax plus 7 end cell row cell straight f apostrophe left parenthesis straight x right parenthesis end cell equals cell 6 straight x minus 2 straight a end cell row cell straight f apostrophe left parenthesis 1 right parenthesis end cell equals cell 6 left parenthesis 1 right parenthesis minus 2 straight a equals 0 end cell row cell 6 minus 2 straight a end cell equals 0 row straight a equals 3 end table end style

Jadi, nilai begin mathsize 14px style f apostrophe left parenthesis 2 right parenthesis equals 6 left parenthesis 2 right parenthesis minus 2 left parenthesis 3 right parenthesis equals 6 end style. Jawaban yang tepat adalah B.

1

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