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Diketahui persamaaan , maka  adalah ....

Pertanyaan

Diketahui persamaaan begin mathsize 14px style y equals left parenthesis 3 x squared plus 2 x right parenthesis left parenthesis x to the power of 4 minus 3 x plus 1 right parenthesis end style, maka begin mathsize 14px style y to the power of 1 end style adalah ....

  1. begin mathsize 14px style 18 x to the power of 5 plus 10 x to the power of 4 minus 27 x squared minus 6 x plus 2 end style

  2. begin mathsize 14px style 18 x to the power of 5 plus 10 x to the power of 4 minus 27 x squared minus 9 x plus 2 end style

  3. begin mathsize 14px style 18 x to the power of 5 plus 10 x to the power of 4 minus 37 x squared minus 6 x plus 2 end style

  4. begin mathsize 14px style 18 x to the power of 5 minus 27 x squared minus 6 x plus 2 end style

  5. begin mathsize 14px style 20 x to the power of 5 plus 10 x to the power of 4 minus 27 x squared minus 6 x plus 2 end style

Pembahasan Video:

Pembahasan Soal:

Dari soal tersebut, dapat diketahui turunan pertama dari y adalah sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell left parenthesis 3 x squared plus 2 x right parenthesis left parenthesis x to the power of 4 minus 3 x plus 1 right parenthesis end cell row blank equals cell 3 x to the power of 6 minus 9 x cubed plus 3 x squared plus 2 x to the power of 5 minus 6 x squared plus 2 x end cell row blank equals cell 3 x to the power of 6 plus 2 x to the power of 5 minus 9 x cubed minus 3 x squared plus 2 x end cell row cell y to the power of 1 end cell equals cell 18 x to the power of 5 plus 10 x to the power of 4 minus 27 x squared minus 6 x plus 2 end cell end table end style

Dengan begitu, opsi jawaban yang tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 06 Mei 2021

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