Pertanyaan

Turunan pertama f ( x ) = x 2 − 1 x 3 − 4 x − 5 adalah f ( x ) . Nilai f ( 0 ) + f ( 3 ) − f ( 2 ) = …

Turunan pertama $f (x) = \frac{x ^{3} - 4 x - 5}{x ^{2} - 1}$ adalah $f (x)$ . Nilai $f (0) + f (3) - f (2) = \dots$

R. Septa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

tidak ada jawaban yang tepat.

Pembahasan

berbentuk , maka Sehingga, Nilai adalah Jadi, tidak ada jawaban yang tepat.

$begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator x cubed minus 4 x minus 5 over denominator x squared minus 1 end fraction end style$ berbentuk , maka

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator u apostrophe times v plus u times v apostrophe over denominator v squared end fraction end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator open parentheses 3 x squared minus 4 close parentheses open parentheses x squared minus 1 close parentheses plus open parentheses x cubed minus 4 x minus 5 close parentheses open parentheses 2 x close parentheses over denominator open parentheses x squared minus 1 close parentheses squared end fraction end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x to the power of 4 minus 3 x squared minus 4 x squared plus 4 plus 2 x to the power of 4 minus 8 x squared minus 10 x over denominator open parentheses x squared minus 1 close parentheses squared end fraction end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator 5 x to the power of 4 minus 15 x squared minus 10 x plus 4 over denominator open parentheses x squared minus 1 close parentheses squared end fraction end cell end table end style$

Sehingga,

$begin mathsize 14px style f apostrophe open parentheses 0 close parentheses equals fraction numerator 5 times 0 to the power of 4 minus 15 times 0 squared minus 10 times 0 plus 4 over denominator open parentheses 0 squared minus 1 close parentheses squared end fraction equals 4 over 1 equals 4 end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe left parenthesis 3 right parenthesis end cell equals cell fraction numerator 5 times 3 to the power of 4 minus 15 times 3 squared minus 10 times 3 plus 4 over denominator blank end fraction end cell row cell f apostrophe left parenthesis 3 right parenthesis end cell equals cell fraction numerator 405 minus 135 minus 30 plus 4 over denominator 64 end fraction end cell row cell f apostrophe left parenthesis 3 right parenthesis end cell equals cell 244 over 64 end cell row cell f apostrophe left parenthesis 3 right parenthesis end cell equals cell 61 over 16 end cell end table end style$

$begin mathsize 14px style f open parentheses 2 close parentheses equals fraction numerator 2 cubed minus 4 times 2 minus 5 over denominator 2 squared minus 1 end fraction f open parentheses 2 close parentheses equals fraction numerator 8 minus 8 minus 5 over denominator 4 minus 1 end fraction f open parentheses 2 close parentheses equals negative 5 over 3 end style$

Nilai adalah

Jadi, tidak ada jawaban yang tepat.