fungsi turunan F(x) = (x+3)^2 . (x-4)
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Pertanyaan
fungsi turunan F(x) = (x+3)^2 . (x-4)
1 Jawaban
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1. Jawaban jumpinstyles
[tex] f(x) = {(x + 3)}^{2} .(x - 4) \\ misal \: u = {(x + 3)}^{2} \\ {u}^{?} = 2(x + 3) = (2x + 6) (turunan \: u)\\ misal \: v = (x - 4) \\ {v}^{?} = 1 (turunan \: v) \\ turunan \: f(x) = {u}^{?} v + u {v}^{?} \\ = (2x + 6)(x - 4) + {(x + 3)}^{2} . 1 \\ = {2x}^{2} - 2x - 24 + ( {x}^{2} + 6x + 9) \\ = {3x}^{2} + 4x - 15[/tex]