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Tentukan interval dimana fungsi merupakan fungsi: a. naik

Tentukan interval dimana fungsi begin mathsize 14px style f open parentheses x close parentheses equals x cubed plus 9 x squared plus 15 x plus 4 end style merupakan fungsi:

a.  naik

Jawaban:

Syarat dari fungsi naik adalah begin mathsize 14px style f apostrophe open parentheses x close parentheses greater than 0 end style, maka didapatkan:

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 greater than 0 row cell 3 x squared plus 18 x plus 15 end cell greater than 0 row cell x squared plus 6 x plus 5 end cell greater than 0 row cell open parentheses x plus 1 close parentheses open parentheses x plus 5 close parentheses end cell greater than 0 end table end style 

begin mathsize 14px style x equals negative 1 space logical or space x equals negative 5 end style 

Karenabegin mathsize 14px style greater than 0 comma end style maka intervalnya didapatkan:

begin mathsize 14px style x less than negative 5 space logical or space x greater than negative 1 end style 

Jadi, interval dimana fungsi begin mathsize 14px style f open parentheses x close parentheses equals x cubed plus 9 x squared plus 15 x plus 4 end style adalah begin mathsize 14px style x less than negative 5 space logical or space x greater than negative 1 end style.

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