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Fungsi f ( x ) = 2 + 2 ​ x ​ − sin x ​ , − π ≤ x ≤ π turun pada interval ....

Fungsi turun pada interval .... 

  1. begin mathsize 14px style 0 less or equal than straight x less or equal than straight pi over 2 end style

  2. begin mathsize 14px style 0 less than straight x less than straight pi end style

  3. begin mathsize 14px style negative straight pi over 3 less or equal than straight x less or equal than 0 end style

  4. begin mathsize 14px style negative straight pi over 3 less or equal than straight x less or equal than straight pi over 3 end style

  5. begin mathsize 14px style negative straight pi over 4 less than straight x less than straight pi over 4 end style

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A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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begin mathsize 14px style straight f open parentheses straight x close parentheses equals square root of 2 plus fraction numerator straight x over denominator square root of 2 end fraction minus sin space invisible function application straight x end root    Fungsi space turun comma space berarti space straight f apostrophe less than 0  fraction numerator fraction numerator 1 over denominator square root of 2 end fraction minus cos space invisible function application straight x over denominator 2 square root of 2 plus fraction numerator straight x over denominator square root of 2 end fraction minus sin invisible function application space straight x end root end fraction less than 0  Berarti  fraction numerator 1 over denominator square root of 2 end fraction minus cos invisible function application space straight x less than 0  minus cos space invisible function application straight x less than negative fraction numerator 1 over denominator square root of 2 end fraction  cos invisible function application space straight x greater than fraction numerator 1 over denominator square root of 2 end fraction equals 1 half square root of 2    Ingat space bahwa  cos invisible function application space straight x equals 1 half square root of 2 open curly brackets table row cell straight x equals straight pi over 4 end cell row cell straight x equals negative straight pi over 4 end cell end table close  Maka  cos invisible function application space straight x greater than 1 half square root of 2  Berlaku space untuk  minus straight pi over 4 less than straight x less than straight pi over 4 end style

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