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Tentukan pada interval mana fungsi merupakan fungsi naik atau fungsi turun.

Tentukan pada interval mana fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals x squared minus 6 x end style merupakan fungsi naik atau fungsi turun.

Jawaban:

Fungsi naik, jika begin mathsize 14px style straight f apostrophe open parentheses straight x close parentheses greater than 0 end style.

Fungsi turun, jika begin mathsize 14px style straight f apostrophe open parentheses straight x close parentheses less than 0 end style.

begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals straight x squared minus 6 straight x straight f apostrophe open parentheses straight x close parentheses equals 2 straight x minus 6 end style 

Fungsi naik, jika begin mathsize 14px style straight f apostrophe open parentheses straight x close parentheses greater than 0 end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f apostrophe open parentheses straight x close parentheses end cell greater than 0 row cell 2 straight x minus 6 end cell greater than 0 row cell 2 straight x end cell greater than 6 row straight x greater than 3 end table end style

Fungsi turun, jika begin mathsize 14px style straight f apostrophe open parentheses straight x close parentheses less than 0 end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f apostrophe open parentheses straight x close parentheses end cell less than 0 row cell 2 straight x minus 6 end cell less than 0 row cell 2 straight x end cell less than 6 row straight x less than 3 end table end style 

Jadi, fungsi naik pada interval begin mathsize 14px style x greater than 3 end style dan fungsi turun pada interval begin mathsize 14px style x less than 3 end style.

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