Question

Calcule a derivada quarta de f(x) = 8.x4 + 5.x3 –x2 + 7


193


194


192


191


195

Answer 1

f(x) = 8x4 + 5x3 - x2 + 7

f'(x) = 8.4x3 + 5.3x2 - 2x

f''(x) = 8.4.3x2 + 5.3.2x - 2

f'''(x) = 8.4.3.2.x + 5.3.2

f''''(x) = 8.4.3.2 = 192

Answer 2

f(x) = 8x⁴ + 5x³ - x² + 7

f'(x) = 4.8x³ + 3.5x² - 2.x¹ + 0

f"(x) = 96x² + 30x¹ - 2

f'"(x) = 192x¹ + 30 - 0

f""(x)= 192 ✓