Page 4 - EMY SOHILAIT DASAR KALKULUS
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3.6. Latihan .............................................................................................. 48
PERTEMUAN 4. LIMIT DAN KONTINUITAS :
TEOREMA LIMIT DAN LIMIT FUNGSI ........................................................ 49
4.1. Defenisi Limit .................................................................................. 51
4.2. Teorema Limit ................................................................................ 52
4.3. Limit Kiri dan Limit Kanan ................................................................ 55
4.4. Limit Fungsi Khusus ........................................................................ 56
4.5. Kesimpulan ....................................................................................... 60
4.6. Latihan Soal/Tugas ........................................................................... 60
PERTEMUAN 5. LIMIT DAN KONTINUITAS :
KONTINUITAS DAN ATURAN L’HOPITAL ....................................................... 61
5.1. Metode Penyelesaian Limit ............................................................... 63
5.1.1. Menentukan Limit dengan Memfaktorkan ........................................... 63
5.1.2. Menentukan Limit dengan Merasionalkan Bentuk Akar ........................ 64
5.1.3. Menentukan Limit dengan Membagi Pembilang dan Penyebut
Dengan Variabel Pangkat Tertinggi ................................................... 67
5.2. Kontinuitas dan Diskontinuitas Fungsi ................................................ 70
5.3. Aturan L’Hospital .............................................................................. 72
5.4. Rangkuman ..................................................................................... 76
5.5. Latihan ............................................................................................ 77
PERTEMUAN 6. TURUNAN (DIFFERENSIAL) :
MENENTUKAN TURUNAN FUNGSI DAN ATURAN DASAR TURUNAN .............. 79
6.1. Defenisi Diferensial .......................................................................... 81
6.2. Menentukan Turunan Fungsi ............................................................ 82
6.2.1. Aturan Dasar Turunan ....................................................................... 82
6.2.2. Jika y = f(x) Merupakan Fungsi Trigonometri ...................................... 83
6.2.3. Jika y = f(x) Merupakan Fungsi Logaritma ........................................... 84
6.2.4. Jika y = f(x) Merupakan Fungsi Eksponen ........................................... 85
6.2.5. Jika y = f(x) Merupakan suatu Fungsi Siklometri ................................. 86
6.3. Rangkuman ....................................................................................... 87
6.4. Latihan ............................................................................................... 87
PERTEMUAN 7. TURUNAN (DIFFERENSIAL) :
TURUNAN FUNGSI BERSUSUN, TURUNAN FUNGSI INVERS DAN
TURUNAN FUNGSI IMPLISIT ....................................................................... 89
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