tolong di bantu kak no 3
Jawab:
turunan dan integral
f'(x) = ∫ f"(x) dx
f'(x) = ∫60x³ - 72x + 14 dx
f'(x) = 15x⁴ - 36x² + 14x + c
f'(2) = 49
15(2⁴) - 36(2)² + 14(2) + c = 49
240 - 144 + 28 + c= 49
c + 124 = 49
c = -75
f'(x) = ∫ f'(x) dx
f(x) = ∫ (15x⁴ - 36x² + 14x -75) dx
f(x) = 5x³ - 12 x³ + 7x² - 75x + c
f(1) = 5
5 -12 +7 - 75+ c= 5
c = -80
f(x) = 5x³ - 12 x³ + 7x² - 75x -80
