Question

Jika turunan ke 2 suatu fungsi
f"(x) = 24x
f'(2)=5
f(3)=10

berapah f(x)

Answer 1

F '' (x) = 24x
f ' (x) = 12x² + c

f ' (2) = 5

12(2)² + c = 5
12.4 + c = 5
48 + c = 5
c = -43

f ' (x) = 12x² - 43

f (x) = 4x³ - 43x + c
f (3) = 10

4(3)³ - 43(3) + c = 10
4.27 - 129 + c = 10
108 - 129 + c = 10
-21 + c = 10
c = 31

f (x) = 4x³ - 43x + 31