yang lagi banyak waktu jawab 😀
f(x) = 70x^30 + 20x^20 – 2005
f"'"(x) = ….
Habisin poin
✧Jawaban:
f(x) = 70x^30 + 20x^20 – 2005
f'(x) = 30(70)x^(30 – 1) + 20(20)x^(20 – 1) – 0
f'(x) = 2.100x²⁹ + 400x¹⁹
f"(x) = 29(2.100)x^(29 – 1) + 19(400)x^(19 – 1)
f"(x) = 60.900x²⁸ + 7.600x¹⁸
f"'(x) = 28(60.900)x^(28 – 1) + 18(7.600)x^(18 – 1)
f"'(x) = 1.705.200x²⁷ + 136.800x¹⁷
f""(x) = 27(1.705.200)x^(27 – 1) + 17(136.800)x^(17 – 1)
f""(x) = 46.040.400x²⁶ + 2.325.600x¹⁶
f""'(x) = 26(46.040.400)x^(26 – 1) + 16(2.325.600)x^(16 – 1)
f""'(x) = 1.197.050.400x²⁵ + 37.209.600x¹⁵
Krksi bila slh .-.
Penjelasan dengan langkah-langkah:
-_-
f(x) = 70x^30 + 20x^20 – 2005
f'(x) = 30(70)x³⁰-¹ + 20(20)x²⁰-¹ – 0
f'(x) = 2.100x²⁹ + 400x¹⁹ – 0
f'(x) = 2.100x²⁹ + 400x¹⁹
f"(x) = 29(2.100)x²⁹-¹ + 400x¹⁹-¹
f"(x) = 60.900x²⁸ + 400x¹⁸
f"'(x) = 28(60.900)x²⁸-¹ + 18(400)x¹⁸-¹
f"'(x) = 1.705.200x²⁷ + 136.800x¹⁷
f""(x) = 27(1.705.200)x²⁷-¹ + 17(136.800)x¹⁷-¹
f""(x) = 46.040.400x²⁶ + 2.325.600x¹⁶
f"'"(x) = 26(46.040.400)x²⁶-¹ + 16(2.325.600)x¹⁶-¹
f"'"(x) = 1.197.050.400x²⁵ + 37.209.600x¹⁵
