PTK Derivasi

DERIVASI

{1. S àaSBC, 2. S àabC, 3. bBà bb, 4. bCàbc, 5. CB à BC, 6.cCà cc}.

Jawab :

Derivasi 1 terpendek :                                                    Derivasi 3 terpendek :

S ⇒abC                                                                       S ⇒aSBC

S ⇒abc                                                                                    ⇒aaSBCBC

                                                                                    ⇒aaabCBCBC

                                                                                    ⇒aaabBCCBC

Derivasi 2 terpendek :                                                  ⇒aaabBCBCC

S ⇒aSBC                                                                     ⇒aaabBBCCC

    ⇒aabCBC                                                                ⇒aaabbBCCC

    ⇒aabBCC                                                                ⇒aaabbbCCC

    ⇒aabbCC                                                                 ⇒aaabbbcCC

    ⇒aabbcC                                                                  ⇒aaabbbccC

    ⇒aabbcc                                                                  ⇒aaabbbccc

POHON DERIVASI

(5+6) * (2-3) div 4

  /                 |               \

                                       

                                                    |                         |                              /           |     \

                                                               *                

                                             |                                                |                    |               |

                                                                     div                  4           

                                             |                                               |

                               ()                        ()     

                         /                |                     \               /            |           \

                                          

                    |                        |                    |                |               |                    |

                            +            -

                     |                                          |                   |                                 |

                                             6                                 3

                      |                                                             |

                     5                                                             2