Yok 400 fols ;_;f(x) = 2x⁹ + x⁷f””(2) = ___
Penjelasan dengan langkah-langkah:
f(x) = 2x⁹ + x⁷
f'(x) = 2(9)x^9-1 + 1(7)x^7-1
f'(x) = 18x⁸ + 7x⁶
f''(x) = 18(8)x^8-1 + 7(6)x^6-1
f''(x) = 144x⁷ + 42x⁵
f'''(x) = 144(7)x^7-1 + 42(5)x^5-1
f'''(x) = 1.008x⁶ + 210x⁴
f''''(x) = 1.008(6)x^6-1 + 210(4)x^4-1
f''''(x) = 6.048x⁵ + 840x³
f''''(2) = 6.048(2)⁵ + 840(2)³
f''''(2) = 6.048(32) + 840(8)
f''''(2) = 193.536 + 6.720
f''''(2) = 200.256
Penjelasan dengan langkah-langkah:
f(x) = 2x⁹ + x⁷
f''''(2) = ___
- Turunan pertama
f'(x) = n × a × xⁿ‾¹
f'(x) = 9 × 2 × x^9-1 + 7 × 1 × x^7-1
f'(x) = 18x⁸ + 7x⁶
- Turunan kedua
f"(x) = 8 × 18 × x^8-1 + 6 × 7 × x^6-1
f"(x) = 144x⁷ + 42x⁵
- Turunan ketiga
f"'(x) = 7 × 144 × x^7-1 + 5 × 42 × x^5-1
f"'(x) = 1.008x⁶ + 210x⁴
- Turunan keempat
f""(x) = 6 × 1.008 × x^6-1 + 4 × 210 × x^4-1
f""(x) = 6.048x⁵ + 840x³
- f""(2)
f""(2) = 6.048(2⁵) + 840(2³)
f""(2) = 6.048(32) + 840(8)
f""(2) = 193.536 + 6.720
f""(2) = 200.256