derivative of-20x^3+36x^2-12x-4

解

\frac{d}{d x} (- 20 x^{3} + 36 x^{2} - 12 x - 4)

- 60 x^{2} + 72 x - 12

解答ステップ

\frac{d}{d x} (- 20 x^{3} + 36 x^{2} - 12 x - 4)

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (20 x^{3}) + \frac{d}{d x} (36 x^{2}) - \frac{d}{d x} (12 x) - \frac{d}{d x} (4)

\frac{d}{d x} (20 x^{3}) = 60 x^{2}

\frac{d}{d x} (36 x^{2}) = 72 x

\frac{d}{d x} (12 x) = 12

\frac{d}{d x} (4) = 0

= - 60 x^{2} + 72 x - 12 - 0

簡素化

= - 60 x^{2} + 72 x - 12