Pertanyaan

Diketahui f'(x) turunan pertama fungsi aljabar . Nilai f'(-3) adalah....

90
88
56 (2x +4)2
44
20

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Ingat bahwa :

$f left parenthesis x right parenthesis equals u over v rightwards double arrow f apostrophe left parenthesis x right parenthesis equals fraction numerator u apostrophe v minus u v apostrophe over denominator v squared end fraction u equals left parenthesis 1 minus x right parenthesis cubed u apostrophe equals negative 3 left parenthesis 1 minus x right parenthesis squared v equals left parenthesis 2 x plus 4 right parenthesis squared v apostrophe equals 2 left parenthesis 2 x plus 4 right parenthesis left parenthesis 2 right parenthesis equals 8 x plus 16 M a k a comma f apostrophe left parenthesis x right parenthesis equals fraction numerator negative 3 left parenthesis 1 minus x right parenthesis squared left parenthesis 2 x plus 4 right parenthesis squared minus left parenthesis 1 minus x right parenthesis cubed left parenthesis 8 x plus 16 right parenthesis over denominator left parenthesis 2 x plus 4 right parenthesis to the power of 4 end fraction f apostrophe left parenthesis negative 3 right parenthesis equals fraction numerator negative 3 left parenthesis 1 plus 3 right parenthesis squared left parenthesis 2 left parenthesis negative 3 right parenthesis plus 4 right parenthesis squared minus left parenthesis 1 plus 3 right parenthesis cubed left parenthesis 8 left parenthesis negative 3 right parenthesis plus 16 right parenthesis over denominator left parenthesis 2 left parenthesis negative 3 right parenthesis plus 4 right parenthesis to the power of 4 end fraction f apostrophe left parenthesis 3 right parenthesis equals fraction numerator negative 3 left parenthesis 4 right parenthesis squared left parenthesis negative 2 right parenthesis squared minus left parenthesis 4 right parenthesis cubed left parenthesis negative 8 right parenthesis over denominator left parenthesis negative 2 right parenthesis to the power of 4 end fraction f apostrophe left parenthesis 3 right parenthesis equals 20$