Fungsi F(x) = (x-1) (x^2 +7x -29) naik pada interval
Matematika
lennymerliani
Pertanyaan
Fungsi F(x) = (x-1) (x^2 +7x -29) naik pada interval
1 Jawaban
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1. Jawaban vionitadwii
F(x) = (x - 1) (x² + 7x - 29)
Misalkan : u = x - 1, u' = 1
v = x² + 7x - 29, v' = 2x + 7
F'(x) = u'v + uv'
= 1(x² + 7x - 29) + (x - 1)(2x + 7)
= x² + 7x - 29 + 2x² + 7x - 2x - 7
= 3x² + 12x -36
= x² + 4x - 12
(x + 6) (x - 2) = 0
x < -6 atau x > 2