tentukan fungsi f(x) jika diketahui f'(x) =x2+4x dan f(-3)=5
Matematika
mona130
Pertanyaan
tentukan fungsi f(x) jika diketahui f'(x) =x2+4x dan f(-3)=5
1 Jawaban
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1. Jawaban 4LL
menggunakan intergral
f'(x) = x² + 4x
f(x) = (1 / 2+1) x^(2+1) + (4 / 1+1) x^(1+1)
f(x) = ⅓ x³ + 4/2 x²
f(x) = x³/3 + 2x²
f(-3) = ... ?
f(-3) = (-3)³/3 + 2(-3)²
f(-3) = -27/3 + 2(9)
f(-3) = -27/3 + 18
f(-3) = (-27 + 54)/3
f(-3) = 27/3
f(-3) = 9
semoga berguna +_+