f'(x)=a f(4)=8 f(2)=2 f(x)=?
Matematika
hensap
Pertanyaan
f'(x)=a f(4)=8 f(2)=2 f(x)=?
1 Jawaban
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1. Jawaban weniran
f'(x) = a
f(x) = ax + c
f(4) = a(4) + c
8 = 4a + c
c = 8 - 4a ....(1)
f(2) = a(2) + c
2 = 2a + c
subtitusi
2a + c = 2
2a + (8 - 4a) = 2
2a - 4a = 2 - 8
-2a = -6
a = -6/-2
a = 3
2a + c = 2
2(3) + c = 2
6 + c = 2
c = 2 - 6
c = -4
jadi, f(x) = ax + c = 3x + (-4) = 3x - 4