Grafik y=2x3−25​x2−6x+5 naik untuk x yang memenuhi ...

Pertanyaan

Grafik y equals 2 x cubed minus 5 over 2 x squared minus 6 x plus 5 naik untuk x yang memenuhi ... 

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

nilai x yang memenuhi sehingga grafik y equals 2 x cubed minus 5 over 2 x squared minus 6 x plus 5 naik  adalah open curly brackets x vertical line x less than bevelled 2 over 3 space atau space x greater than bevelled fraction numerator 3 over denominator 2 comma space x element of R end fraction close curly brackets

Pembahasan

Grafik fungsi y equals f open parentheses x close parentheses naik jika f apostrophe open parentheses x close parentheses greater than 0

y equals 2 x cubed minus 5 over 2 x squared minus 6 x plus 5, maka turunan pertama dari y adalah 

table attributes columnalign right center left columnspacing 0px end attributes row cell y apostrophe end cell equals cell 2 times 3 x squared minus 5 over 2 times 2 x minus 6 end cell row cell y apostrophe end cell equals cell 6 x squared minus 5 x minus 6 end cell end table 

Grafik y equals 2 x cubed minus 5 over 2 x squared minus 6 x plus 5 naik, maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell y apostrophe end cell greater than 0 row cell 6 x squared minus 5 x minus 6 end cell greater than 0 end table 

Pembuat nol 

table attributes columnalign right center left columnspacing 0px end attributes row cell 6 x squared minus 5 x minus 6 end cell equals 0 row cell open parentheses 2 x minus 3 close parentheses open parentheses 3 x plus 2 close parentheses end cell equals 0 row cell 2 x minus 3 end cell equals cell 0 space space space atau space space space 3 x plus 2 equals 0 end cell row cell 2 x end cell equals cell 3 space space space space space space space space space space space space space space space space space space 3 x equals negative 2 end cell row x equals cell 3 over 2 space space space space space space space space space space space space space space space space space space x equals negative 2 over 3 end cell end table 

Uji x equals 0 

table attributes columnalign right center left columnspacing 0px end attributes row cell y apostrophe end cell equals cell 6 x squared minus 5 x minus 6 end cell row cell y apostrophe end cell equals cell 6 open parentheses 0 close parentheses squared minus 5 open parentheses 0 close parentheses minus 6 end cell row cell y apostrophe end cell equals cell negative 6 space open parentheses Negatif close parentheses end cell end table 

Garis bilangan 


   
HP equals open curly brackets x vertical line x less than negative bevelled 2 over 3 space atau space x greater than bevelled 3 over 2 close curly brackets

Dengan demikian, nilai x yang memenuhi sehingga grafik y equals 2 x cubed minus 5 over 2 x squared minus 6 x plus 5 naik  adalah open curly brackets x vertical line x less than bevelled 2 over 3 space atau space x greater than bevelled fraction numerator 3 over denominator 2 comma space x element of R end fraction close curly brackets

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