please jawab. dgn caranya
Matematika
jhon140
Pertanyaan
please jawab.
dgn caranya
dgn caranya
1 Jawaban
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1. Jawaban SadonoSukirno
a)
f'(x) = 6x² - 4x + C
f'(-1) = 3
6(-1)² - 4(-1) + C = 3
6 + 4 + C = 3
C = -7
f'(x) = 6x² - 4x - 7
f(x) = 2x³ - 2x² - 7x + C
f(2) = 5
2(2)³ - 2(2)² - 7(2) + C = 5
16 - 8 - 14 + C = 5
-6 + C = 5
C = 11
f(x) = 2x³ - 2x² - 7x + 11
b) f'(x) = 4x³ + 6x + C
f'(1) = -2
4(1)³ + 6(1) + C = -2
4 + 6 + C = -2
10 + C = -2
C = -12
f'(x) = 4x³ + 6x - 12
f(x) = x⁴ + 3x² - 12x + C
f(-2) = 4
(-2)⁴ + 3(-2)² - 12(-2) + C = 4
16 + 12 + 24 + C = 4
52 + C = 4
C = -48
f(x) = x⁴ + 3x² - 12x - 48