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Diketahui . Jika , nilai a adalah...

Pertanyaan

Diketahui begin mathsize 14px style h left parenthesis x right parenthesis equals 2 x to the power of 4 minus 6 x cubed plus a x squared minus 3 x plus 7 end style. Jika begin mathsize 14px style h apostrophe left parenthesis negative 2 right parenthesis equals negative 127 end style, nilai a adalah...

Pembahasan Soal:

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 h left parenthesis straight x right parenthesis end cell equals cell 2 straight x to the power of 4 minus 6 straight x cubed plus ax squared minus 3 straight x plus 7 end cell row cell straight h apostrophe left parenthesis straight x right parenthesis end cell equals cell 8 straight x cubed minus 18 straight x squared plus 2 ax minus 3 end cell row cell straight h apostrophe left parenthesis negative 2 right parenthesis end cell equals cell 8 left parenthesis negative 2 right parenthesis cubed minus 18 left parenthesis negative 2 right parenthesis squared plus 2 straight a left parenthesis negative 2 right parenthesis minus 3 end cell row cell negative 127 end cell equals cell negative 64 minus 72 minus 4 straight a minus 3 end cell row cell 4 straight a end cell equals cell 127 minus 139 end cell row cell 4 straight a end cell equals cell negative 12 end cell row straight a equals cell negative 3 end cell end table end style

Jadi, diperoleh nilai begin mathsize 14px style a equals negative 3 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 April 2021

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