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Carilah turunan fungsi f(x) = (x2 + 3)(2x2 – 3x)

Rani Maharani

Soal

Carilah turunan fungsi

f(x) = (x2 + 3)(2x2 – 3x)

Pembahasan

f (x) f^{'} (x) = (x^{2} + 3) (2 x^{2} - 3 x) = \frac{d}{d x} [(x^{2} + 3) (2 x^{2} - 3 x)] = \frac{d}{d x} [x^{2} (2 x^{2} - 3 x) + 3 (2 x^{2} - 3 x)] = \frac{d}{d x} [2 x^{4} - 3 x^{3} + 6 x^{2} - 9 x] = \frac{d}{d x} [2 x^{4}] - \frac{d}{d x} [3 x^{3}] + \frac{d}{d x} [6 x^{2}] - \frac{d}{d x} [9 x] = 8 x^{3} - 9 x^{2} + 12 x - 9

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